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Finding the Fourth Proportional to 113.86, 169.61 and 106.96

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Solution

The fourth proportional to 113.86, 169.61 and 106.96 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 169.61 = 106.96 : x
  2. Step 2: Convert to fraction form
    113.86/169.61 = 106.96/x
  3. Step 3: Cross multiply
    113.86x = 169.61 × 106.96
  4. Step 4: Simplify right side
    113.86x = 18,141.49
  5. Step 5: Solve for x
    x = 18,141.49/113.86
  6. Step 6: Final answer
    x = 159.33

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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.