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Finding the Fourth Proportional to 87.46, 130.61 and 84.52

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Solution

The fourth proportional to 87.46, 130.61 and 84.52 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.46 : 130.61 = 84.52 : x
  2. Step 2: Convert to fraction form
    87.46/130.61 = 84.52/x
  3. Step 3: Cross multiply
    87.46x = 130.61 × 84.52
  4. Step 4: Simplify right side
    87.46x = 11,039.16
  5. Step 5: Solve for x
    x = 11,039.16/87.46
  6. Step 6: Final answer
    x = 126.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.