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Finding the Fourth Proportional to 87.82, 130.97 and 83.03

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Solution

The fourth proportional to 87.82, 130.97 and 83.03 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.82 : 130.97 = 83.03 : x
  2. Step 2: Convert to fraction form
    87.82/130.97 = 83.03/x
  3. Step 3: Cross multiply
    87.82x = 130.97 × 83.03
  4. Step 4: Simplify right side
    87.82x = 10,874.44
  5. Step 5: Solve for x
    x = 10,874.44/87.82
  6. Step 6: Final answer
    x = 123.83

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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.