The number 49 represents 42% of which of the following numbers?

20.58

79.4

116.67

To determine which number 49 represents 42% of, you can use the relationship between a percentage and its respective whole number. The formula to find the whole number when a percentage is known is:

Whole number = Part / (Percentage/100)

In this case, the part is 49, and the percentage is 42. Applying the formula:

Whole number = 49 / (42/100)

Whole number = 49 / 0.42

Whole number ≈ 116.67

This calculation shows that 49 is indeed 42% of approximately 116.67. The other choices do not yield a proportion where 49 equates to 42% of those respective whole numbers when entered into the same formula. Therefore, the option that correctly states the relationship is 116.67.

136.1

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