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Finding the Fourth Proportional to 112.20, 167.82 and 81.42

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Solution

The fourth proportional to 112.20, 167.82 and 81.42 is: 121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.20 : 167.82 = 81.42 : x
  2. Step 2: Convert to fraction form
    112.20/167.82 = 81.42/x
  3. Step 3: Cross multiply
    112.20x = 167.82 × 81.42
  4. Step 4: Simplify right side
    112.20x = 13,663.90
  5. Step 5: Solve for x
    x = 13,663.90/112.20
  6. Step 6: Final answer
    x = 121.78

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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.