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

  1. 20.58

  2. 79.4

  3. 116.67

  4. 136.1

The correct answer is: 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.