Recent studies have indicated that phonological change is a direct function of the acoustic cues for the segments involved. Here it is argued that cues for the voicing characteristic of the final post-vocalic and post-nasal stops and cues for final nasals can be ranked according to relative "strength". That is, cues for final voiced stops are weaker than those for final voiceless stops, which are in turn weaker than those for final nasals. This hypothesis is incorporated into a view of sound change which assumes (1) that consonant cues are carried by adjacent vowels, (2) that vowel reduction and loss weaken and obliterate these cues, and (3) that consonants with weak cues are replaced by homorganic consonants with stronger cues. This theory makes predictions about the direction of change and helps account for changes, such as the following, which have occurred during the history of German: /dIng/ →/ dInk/ → /dIn/. In addition, this theory is applied to a range of devoicing and consonant cluster reduction phenomena, including the widespread tendency among the languages of the world to devoice stops in final position, the loss of final voiceless stops in dialects of Chinese, and the absence of final /mb/ – /ng/ and /lb/ – /lg/ clusters in English.