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Finding the Fourth Proportional to 168.11, 232.07 and 106.03

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Solution

The fourth proportional to 168.11, 232.07 and 106.03 is: 146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 232.07 = 106.03 : x
  2. Step 2: Convert to fraction form
    168.11/232.07 = 106.03/x
  3. Step 3: Cross multiply
    168.11x = 232.07 × 106.03
  4. Step 4: Simplify right side
    168.11x = 24,606.38
  5. Step 5: Solve for x
    x = 24,606.38/168.11
  6. Step 6: Final answer
    x = 146.37

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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.