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Finding the Fourth Proportional to 168.41, 252.53 and 99.91

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Solution

The fourth proportional to 168.41, 252.53 and 99.91 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.41 : 252.53 = 99.91 : x
  2. Step 2: Convert to fraction form
    168.41/252.53 = 99.91/x
  3. Step 3: Cross multiply
    168.41x = 252.53 × 99.91
  4. Step 4: Simplify right side
    168.41x = 25,230.46
  5. Step 5: Solve for x
    x = 25,230.46/168.41
  6. Step 6: Final answer
    x = 149.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.