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Finding the Fourth Proportional to 168.42, 232.39 and 94.71

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Solution

The fourth proportional to 168.42, 232.39 and 94.71 is: 130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 232.39 = 94.71 : x
  2. Step 2: Convert to fraction form
    168.42/232.39 = 94.71/x
  3. Step 3: Cross multiply
    168.42x = 232.39 × 94.71
  4. Step 4: Simplify right side
    168.42x = 22,009.66
  5. Step 5: Solve for x
    x = 22,009.66/168.42
  6. Step 6: Final answer
    x = 130.68

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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.