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Finding the Fourth Proportional to 87.62, 130.68 and 82.62

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Solution

The fourth proportional to 87.62, 130.68 and 82.62 is: 123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.62 : 130.68 = 82.62 : x
  2. Step 2: Convert to fraction form
    87.62/130.68 = 82.62/x
  3. Step 3: Cross multiply
    87.62x = 130.68 × 82.62
  4. Step 4: Simplify right side
    87.62x = 10,796.78
  5. Step 5: Solve for x
    x = 10,796.78/87.62
  6. Step 6: Final answer
    x = 123.23

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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.