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Finding the Fourth Proportional to 87.29, 130.73 and 71.96

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Solution

The fourth proportional to 87.29, 130.73 and 71.96 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.29 : 130.73 = 71.96 : x
  2. Step 2: Convert to fraction form
    87.29/130.73 = 71.96/x
  3. Step 3: Cross multiply
    87.29x = 130.73 × 71.96
  4. Step 4: Simplify right side
    87.29x = 9,407.30
  5. Step 5: Solve for x
    x = 9,407.30/87.29
  6. Step 6: Final answer
    x = 107.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.