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Finding the Fourth Proportional to 112.92, 168.65 and 106.71

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Solution

The fourth proportional to 112.92, 168.65 and 106.71 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 168.65 = 106.71 : x
  2. Step 2: Convert to fraction form
    112.92/168.65 = 106.71/x
  3. Step 3: Cross multiply
    112.92x = 168.65 × 106.71
  4. Step 4: Simplify right side
    112.92x = 17,996.11
  5. Step 5: Solve for x
    x = 17,996.11/112.92
  6. Step 6: Final answer
    x = 159.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.