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Finding the Fourth Proportional to 168.53, 232.52 and 94.82

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Solution

The fourth proportional to 168.53, 232.52 and 94.82 is: 130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.53 : 232.52 = 94.82 : x
  2. Step 2: Convert to fraction form
    168.53/232.52 = 94.82/x
  3. Step 3: Cross multiply
    168.53x = 232.52 × 94.82
  4. Step 4: Simplify right side
    168.53x = 22,045.91
  5. Step 5: Solve for x
    x = 22,045.91/168.53
  6. Step 6: Final answer
    x = 130.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.