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Finding the Fourth Proportional to 112.17, 167.91 and 81.73

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Solution

The fourth proportional to 112.17, 167.91 and 81.73 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 167.91 = 81.73 : x
  2. Step 2: Convert to fraction form
    112.17/167.91 = 81.73/x
  3. Step 3: Cross multiply
    112.17x = 167.91 × 81.73
  4. Step 4: Simplify right side
    112.17x = 13,722.86
  5. Step 5: Solve for x
    x = 13,722.86/112.17
  6. Step 6: Final answer
    x = 122.34

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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.