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Finding the Fourth Proportional to 81.91, 122.86 and 24.91

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Solution

The fourth proportional to 81.91, 122.86 and 24.91 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.91 : 122.86 = 24.91 : x
  2. Step 2: Convert to fraction form
    81.91/122.86 = 24.91/x
  3. Step 3: Cross multiply
    81.91x = 122.86 × 24.91
  4. Step 4: Simplify right side
    81.91x = 3,060.44
  5. Step 5: Solve for x
    x = 3,060.44/81.91
  6. Step 6: Final answer
    x = 37.36

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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.