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Finding the Fourth Proportional to 83.16, 124.75 and 42.61

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Solution

The fourth proportional to 83.16, 124.75 and 42.61 is: 63.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 124.75 = 42.61 : x
  2. Step 2: Convert to fraction form
    83.16/124.75 = 42.61/x
  3. Step 3: Cross multiply
    83.16x = 124.75 × 42.61
  4. Step 4: Simplify right side
    83.16x = 5,316.16
  5. Step 5: Solve for x
    x = 5,316.16/83.16
  6. Step 6: Final answer
    x = 63.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.