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Finding the Fourth Proportional to 83.09, 124.62 and 31.71

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Solution

The fourth proportional to 83.09, 124.62 and 31.71 is: 47.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 124.62 = 31.71 : x
  2. Step 2: Convert to fraction form
    83.09/124.62 = 31.71/x
  3. Step 3: Cross multiply
    83.09x = 124.62 × 31.71
  4. Step 4: Simplify right side
    83.09x = 3,951.35
  5. Step 5: Solve for x
    x = 3,951.35/83.09
  6. Step 6: Final answer
    x = 47.55

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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.