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Finding the Fourth Proportional to 113.12, 168.72 and 106.13

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Solution

The fourth proportional to 113.12, 168.72 and 106.13 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.12 : 168.72 = 106.13 : x
  2. Step 2: Convert to fraction form
    113.12/168.72 = 106.13/x
  3. Step 3: Cross multiply
    113.12x = 168.72 × 106.13
  4. Step 4: Simplify right side
    113.12x = 17,906.25
  5. Step 5: Solve for x
    x = 17,906.25/113.12
  6. Step 6: Final answer
    x = 158.29

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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.