Reinforce rhymes with:
enforce, enforce, force, forse, laforce, perforce, borse, bourse, coarse, corse, course, divorce, endorse, enforce, ensource, force, forse, gift-horse, hoarse, horse, laforce, midcourse, morse, morss, norse, nourse, outsource, perforce, remorse, sorce, source, vorce
Reinforce sounds like:
ramberg, reimburse, reimburses, reinforces, remembers, romberg