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Finding the Fourth Proportional to 113.28, 168.92 and 106.96

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Solution

The fourth proportional to 113.28, 168.92 and 106.96 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 168.92 = 106.96 : x
  2. Step 2: Convert to fraction form
    113.28/168.92 = 106.96/x
  3. Step 3: Cross multiply
    113.28x = 168.92 × 106.96
  4. Step 4: Simplify right side
    113.28x = 18,067.68
  5. Step 5: Solve for x
    x = 18,067.68/113.28
  6. Step 6: Final answer
    x = 159.50

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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.