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Finding the Fourth Proportional to 87.86, 132.04 and 47.34

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Solution

The fourth proportional to 87.86, 132.04 and 47.34 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.86 : 132.04 = 47.34 : x
  2. Step 2: Convert to fraction form
    87.86/132.04 = 47.34/x
  3. Step 3: Cross multiply
    87.86x = 132.04 × 47.34
  4. Step 4: Simplify right side
    87.86x = 6,250.77
  5. Step 5: Solve for x
    x = 6,250.77/87.86
  6. Step 6: Final answer
    x = 71.14

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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.