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Finding the Fourth Proportional to 112.71, 169.30 and 106.59

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Solution

The fourth proportional to 112.71, 169.30 and 106.59 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.71 : 169.30 = 106.59 : x
  2. Step 2: Convert to fraction form
    112.71/169.30 = 106.59/x
  3. Step 3: Cross multiply
    112.71x = 169.30 × 106.59
  4. Step 4: Simplify right side
    112.71x = 18,045.69
  5. Step 5: Solve for x
    x = 18,045.69/112.71
  6. Step 6: Final answer
    x = 160.11

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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.