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Finding the Fourth Proportional to 87.48, 120.62 and 72.76

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Solution

The fourth proportional to 87.48, 120.62 and 72.76 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.48 : 120.62 = 72.76 : x
  2. Step 2: Convert to fraction form
    87.48/120.62 = 72.76/x
  3. Step 3: Cross multiply
    87.48x = 120.62 × 72.76
  4. Step 4: Simplify right side
    87.48x = 8,776.31
  5. Step 5: Solve for x
    x = 8,776.31/87.48
  6. Step 6: Final answer
    x = 100.32

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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.