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Finding the Fourth Proportional to 83.91, 125.91 and 32.56

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Solution

The fourth proportional to 83.91, 125.91 and 32.56 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.91 : 125.91 = 32.56 : x
  2. Step 2: Convert to fraction form
    83.91/125.91 = 32.56/x
  3. Step 3: Cross multiply
    83.91x = 125.91 × 32.56
  4. Step 4: Simplify right side
    83.91x = 4,099.67
  5. Step 5: Solve for x
    x = 4,099.67/83.91
  6. Step 6: Final answer
    x = 48.86

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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.