The width of a woman's shoulders is proportional to her height. A woman who is 64 inches tall has a shoulder width of 16.2 inches. Find the height of a woman who has a shoulder width of 18.5 inches.

Respuesta :

Set up a proportion:
[tex] \frac{64}{16.2} = \frac{x}{18.5} [/tex]

Cross multiply:
[tex](64*18.5) = 16.2x[/tex]

Simplify:
[tex]1184 = 16.2x[/tex]

Solve for x:
[tex]x = \frac{1184}{16.2} [/tex]

Simplify:
[tex]x = 73.1 [/tex]