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Finding the Fourth Proportional to 83.92, 125.42 and 61.14

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Solution

The fourth proportional to 83.92, 125.42 and 61.14 is: 91.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.92 : 125.42 = 61.14 : x
  2. Step 2: Convert to fraction form
    83.92/125.42 = 61.14/x
  3. Step 3: Cross multiply
    83.92x = 125.42 × 61.14
  4. Step 4: Simplify right side
    83.92x = 7,668.18
  5. Step 5: Solve for x
    x = 7,668.18/83.92
  6. Step 6: Final answer
    x = 91.37

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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.