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Finding the Fourth Proportional to 66.27, 91.45 and 37.16

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Solution

The fourth proportional to 66.27, 91.45 and 37.16 is: 51.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.27 : 91.45 = 37.16 : x
  2. Step 2: Convert to fraction form
    66.27/91.45 = 37.16/x
  3. Step 3: Cross multiply
    66.27x = 91.45 × 37.16
  4. Step 4: Simplify right side
    66.27x = 3,397.82
  5. Step 5: Solve for x
    x = 3,397.82/66.27
  6. Step 6: Final answer
    x = 51.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.