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Finding the Fourth Proportional to 168.11, 232.04 and 105.12

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Solution

The fourth proportional to 168.11, 232.04 and 105.12 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 232.04 = 105.12 : x
  2. Step 2: Convert to fraction form
    168.11/232.04 = 105.12/x
  3. Step 3: Cross multiply
    168.11x = 232.04 × 105.12
  4. Step 4: Simplify right side
    168.11x = 24,391.52
  5. Step 5: Solve for x
    x = 24,391.52/168.11
  6. Step 6: Final answer
    x = 145.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.