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Finding the Fourth Proportional to 168.67, 252.84 and 91.47

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Solution

The fourth proportional to 168.67, 252.84 and 91.47 is: 137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 252.84 = 91.47 : x
  2. Step 2: Convert to fraction form
    168.67/252.84 = 91.47/x
  3. Step 3: Cross multiply
    168.67x = 252.84 × 91.47
  4. Step 4: Simplify right side
    168.67x = 23,128.05
  5. Step 5: Solve for x
    x = 23,128.05/168.67
  6. Step 6: Final answer
    x = 137.12

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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.