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Finding the Fourth Proportional to 112.92, 169.44 and 67.29

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Solution

The fourth proportional to 112.92, 169.44 and 67.29 is: 100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 169.44 = 67.29 : x
  2. Step 2: Convert to fraction form
    112.92/169.44 = 67.29/x
  3. Step 3: Cross multiply
    112.92x = 169.44 × 67.29
  4. Step 4: Simplify right side
    112.92x = 11,401.62
  5. Step 5: Solve for x
    x = 11,401.62/112.92
  6. Step 6: Final answer
    x = 100.97

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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.