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Finding the Fourth Proportional to 87.94, 131.11 and 82.78

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Solution

The fourth proportional to 87.94, 131.11 and 82.78 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 131.11 = 82.78 : x
  2. Step 2: Convert to fraction form
    87.94/131.11 = 82.78/x
  3. Step 3: Cross multiply
    87.94x = 131.11 × 82.78
  4. Step 4: Simplify right side
    87.94x = 10,853.29
  5. Step 5: Solve for x
    x = 10,853.29/87.94
  6. Step 6: Final answer
    x = 123.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.