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Finding the Fourth Proportional to 168.82, 252.55 and 114.55

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Solution

The fourth proportional to 168.82, 252.55 and 114.55 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.82 : 252.55 = 114.55 : x
  2. Step 2: Convert to fraction form
    168.82/252.55 = 114.55/x
  3. Step 3: Cross multiply
    168.82x = 252.55 × 114.55
  4. Step 4: Simplify right side
    168.82x = 28,929.60
  5. Step 5: Solve for x
    x = 28,929.60/168.82
  6. Step 6: Final answer
    x = 171.36

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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.