Solved Examples and Worksheet for Equivalent Ratios Using Proportional Relationships

Q1Find the value of n, if the two ratios 310 and n20 are equal.

A. 6
B. 5
C. 4
D. 8

Step: 1
310 = n20
  [Original proportion.]
Step: 2
10 × n = 3 × 20
  [Write the cross products.]
Step: 3
10n = 60
  [Multiply.]
Step: 4
10n10 = 6010
  [Divide each side by 10.]
Step: 5
n = 6
  [Simplify.]
Step: 6
The value of n is 6.
Correct Answer is :   6
Q2Find the value of n, if the two ratios 29 : 30 and n : 60 are equal.

A. 63
B. 58
C. 53
D. 60

Step: 1
2930 = n60
  [Original proportion.]
Step: 2
29 × 60 = 30 × n
  [Write the cross products.]
Step: 3
1740 = 30n
  [Multiply.]
Step: 4
174030 = 30n30
  [Divide each side by 30.]
Step: 5
58 = n
  [Simplify.]
Step: 6
The value of the n is 58.
Correct Answer is :   58
Q3Are 42 and 126 equal?

A. Yes
B. No

Step: 1
42 ?= 126
  [Write as a proportion.]
Step: 2
4 × 6 ?= 12 × 2
  [Write the cross products.]
Step: 3
24 = 24
  [Simplify and compare.]
Step: 4
Yes, the ratios form a proportion.
Correct Answer is :   Yes
Q4Identify the pair of proportions that are equivalent to the ratio 72 : 99.
A. 811 and 4055
B. 911 and 1822
C. 811 and 3254
D. None of the above

Step: 1
The pair of proportions equivalent to the ratio 72:99 are 811 and 4055.
Correct Answer is :   811 and 4055