Interesting shdw. For topic reasons now what speed do you find it comfortable to touch down at and how much runway do you have left at touch down on a high airspeed vs. low airspeed approach? The 172 is a big floater IMO.
Unless I am demonstrating a wheel/airliner landing (which is awful to call it in a tric aircraft) I land at or close to full stall regardless of approach speed. The key to fast approaches is you can't bleed off speed in the flare like many seem to try and do after making a fast approach. Trying something like this at 85 knots you float I would guess around 2000 feet if done in the flare before being slow enough to do a near stall landing, using a total of 3000 feet.
That being said, safe touchdowns in a 172 can easily be done below 60 knots with zero float if you do it properly. Approach with power, round out for flare above ground effect and reduce power. This action gives you so much sink that even on hot days you can usually eliminate the float and come right in for a smooth touchdown.
I do have one stupid approach I made rushing a student back in a 172SP where I flew in at the top of the green arc till about a half mile final on a 3500 foot runway. We had no flaps it took almost half the runway to get on the ground, first touchdown was around 100 knots the second was around 80 and required forward pressure and breaking to keep the wheels down. Needless to say I used 3495 feet of that 3500 I had to come to a complete stop and will never make an approach like that again. Surprisingly enough the student loved it.
PS: Impact forces increase with the square of velocity, similar to parasite drag increase. This means if you land at 60 vs 30 you increase the stress on every aspect of the aircraft by a factor of 4. This is why I push for slow speed landings on every approach, that and it teaches the student maximum aircraft performance.