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Finding the Fourth Proportional to 87.54, 120.38 and 77.19

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Solution

The fourth proportional to 87.54, 120.38 and 77.19 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.54 : 120.38 = 77.19 : x
  2. Step 2: Convert to fraction form
    87.54/120.38 = 77.19/x
  3. Step 3: Cross multiply
    87.54x = 120.38 × 77.19
  4. Step 4: Simplify right side
    87.54x = 9,291.75
  5. Step 5: Solve for x
    x = 9,291.75/87.54
  6. Step 6: Final answer
    x = 106.14

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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.