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Finding the Fourth Proportional to 168.08, 251.91 and 71.82

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Solution

The fourth proportional to 168.08, 251.91 and 71.82 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 251.91 = 71.82 : x
  2. Step 2: Convert to fraction form
    168.08/251.91 = 71.82/x
  3. Step 3: Cross multiply
    168.08x = 251.91 × 71.82
  4. Step 4: Simplify right side
    168.08x = 18,092.18
  5. Step 5: Solve for x
    x = 18,092.18/168.08
  6. Step 6: Final answer
    x = 107.64

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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.