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Finding the Fourth Proportional to 87.66, 132.04 and 82.26

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Solution

The fourth proportional to 87.66, 132.04 and 82.26 is: 123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.66 : 132.04 = 82.26 : x
  2. Step 2: Convert to fraction form
    87.66/132.04 = 82.26/x
  3. Step 3: Cross multiply
    87.66x = 132.04 × 82.26
  4. Step 4: Simplify right side
    87.66x = 10,861.71
  5. Step 5: Solve for x
    x = 10,861.71/87.66
  6. Step 6: Final answer
    x = 123.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.