The Bobcats (13-13, 6-6 Mid-American Conference) shot 73.9 percent in the second half (17 of 23) after trailing 22-11 with 8:07 to go in the first half and 32-24 at halftime.
Ohio tied it at 60 on a Baltic layup with 6:16 left, then took its first lead on two Baltic free throws with 5:21 left.
Tied for the fourth time at 65 with 3:02 to go, Cooper and Baltic combined to score the final 11 points for the Bobcats. Cooper hit a jumper, a 3-pointer and three free throws and Baltic made three foul shots. Baltic also had nine rebounds.
Ohio, which scored 25 points off 16 Buffalo turnovers, has won three of four.