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Finding the Fourth Proportional to 168.83, 232.97 and 106.64

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Solution

The fourth proportional to 168.83, 232.97 and 106.64 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.83 : 232.97 = 106.64 : x
  2. Step 2: Convert to fraction form
    168.83/232.97 = 106.64/x
  3. Step 3: Cross multiply
    168.83x = 232.97 × 106.64
  4. Step 4: Simplify right side
    168.83x = 24,842.46
  5. Step 5: Solve for x
    x = 24,842.46/168.83
  6. Step 6: Final answer
    x = 147.15

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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.