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Finding the Fourth Proportional to 87.23, 131.54 and 85.61

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Solution

The fourth proportional to 87.23, 131.54 and 85.61 is: 129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.23 : 131.54 = 85.61 : x
  2. Step 2: Convert to fraction form
    87.23/131.54 = 85.61/x
  3. Step 3: Cross multiply
    87.23x = 131.54 × 85.61
  4. Step 4: Simplify right side
    87.23x = 11,261.14
  5. Step 5: Solve for x
    x = 11,261.14/87.23
  6. Step 6: Final answer
    x = 129.10

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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.