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Finding the Fourth Proportional to 168.35, 232.29 and 106.21

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Solution

The fourth proportional to 168.35, 232.29 and 106.21 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 232.29 = 106.21 : x
  2. Step 2: Convert to fraction form
    168.35/232.29 = 106.21/x
  3. Step 3: Cross multiply
    168.35x = 232.29 × 106.21
  4. Step 4: Simplify right side
    168.35x = 24,672.11
  5. Step 5: Solve for x
    x = 24,672.11/168.35
  6. Step 6: Final answer
    x = 146.55

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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.