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Finding the Fourth Proportional to 168.68, 232.94 and 106.62

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Solution

The fourth proportional to 168.68, 232.94 and 106.62 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.68 : 232.94 = 106.62 : x
  2. Step 2: Convert to fraction form
    168.68/232.94 = 106.62/x
  3. Step 3: Cross multiply
    168.68x = 232.94 × 106.62
  4. Step 4: Simplify right side
    168.68x = 24,836.06
  5. Step 5: Solve for x
    x = 24,836.06/168.68
  6. Step 6: Final answer
    x = 147.24

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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.