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Finding the Fourth Proportional to 112.47, 168.92 and 106.34

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Solution

The fourth proportional to 112.47, 168.92 and 106.34 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.47 : 168.92 = 106.34 : x
  2. Step 2: Convert to fraction form
    112.47/168.92 = 106.34/x
  3. Step 3: Cross multiply
    112.47x = 168.92 × 106.34
  4. Step 4: Simplify right side
    112.47x = 17,961.98
  5. Step 5: Solve for x
    x = 17,961.98/112.47
  6. Step 6: Final answer
    x = 159.71

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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.