7th grade word problem math ratio?

Question

 

a. Find x using the ratio of the sides 14 cm and 16 cm: x/24 = 14/16. show some work like explain it out for me.
b. Find x using the ratio of the sides 7 cm and 8 cm. explain it out for me.
c. Explain why the answers to (a) and (b) should be the same

Answer 1

a.  Finding x using the ratio of the sides 14 cm and 16 cm:

     x/24 = 14/16

     x/24 × 24 = 14/16 × 24

     x = 14/2 × 3

     x = 7 × 3

    x = 21

b. Finding x using the ratio of the sides 7 cm and 8 cm

   x/24 = 7/8

   x/24 × 24  = 7/8 × 24

  x = 7 × 3

  x = 21

c. The answers of (a) and (b) should be the same because  14 : 16 :: 7 : 8