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Finding the Fourth Proportional to 168.16, 232.12 and 106.11

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Solution

The fourth proportional to 168.16, 232.12 and 106.11 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 232.12 = 106.11 : x
  2. Step 2: Convert to fraction form
    168.16/232.12 = 106.11/x
  3. Step 3: Cross multiply
    168.16x = 232.12 × 106.11
  4. Step 4: Simplify right side
    168.16x = 24,629.72
  5. Step 5: Solve for x
    x = 24,629.72/168.16
  6. Step 6: Final answer
    x = 146.47

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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.