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Finding the Fourth Proportional to 87.46, 130.49 and 82.90

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Solution

The fourth proportional to 87.46, 130.49 and 82.90 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.46 : 130.49 = 82.90 : x
  2. Step 2: Convert to fraction form
    87.46/130.49 = 82.90/x
  3. Step 3: Cross multiply
    87.46x = 130.49 × 82.90
  4. Step 4: Simplify right side
    87.46x = 10,817.62
  5. Step 5: Solve for x
    x = 10,817.62/87.46
  6. Step 6: Final answer
    x = 123.69

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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.