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Finding the Fourth Proportional to 87.15, 120.23 and 52.17

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Solution

The fourth proportional to 87.15, 120.23 and 52.17 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.15 : 120.23 = 52.17 : x
  2. Step 2: Convert to fraction form
    87.15/120.23 = 52.17/x
  3. Step 3: Cross multiply
    87.15x = 120.23 × 52.17
  4. Step 4: Simplify right side
    87.15x = 6,272.14
  5. Step 5: Solve for x
    x = 6,272.14/87.15
  6. Step 6: Final answer
    x = 71.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.