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Finding the Fourth Proportional to 87.20, 129.20 and 83.60

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Solution

The fourth proportional to 87.20, 129.20 and 83.60 is: 123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.20 : 129.20 = 83.60 : x
  2. Step 2: Convert to fraction form
    87.20/129.20 = 83.60/x
  3. Step 3: Cross multiply
    87.20x = 129.20 × 83.60
  4. Step 4: Simplify right side
    87.20x = 10,801.12
  5. Step 5: Solve for x
    x = 10,801.12/87.20
  6. Step 6: Final answer
    x = 123.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.