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Finding the Fourth Proportional to 87.10, 120.46 and 76.16

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Solution

The fourth proportional to 87.10, 120.46 and 76.16 is: 105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.10 : 120.46 = 76.16 : x
  2. Step 2: Convert to fraction form
    87.10/120.46 = 76.16/x
  3. Step 3: Cross multiply
    87.10x = 120.46 × 76.16
  4. Step 4: Simplify right side
    87.10x = 9,174.49
  5. Step 5: Solve for x
    x = 9,174.49/87.10
  6. Step 6: Final answer
    x = 105.33

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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.