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Finding the Fourth Proportional to 168.12, 252.20 and 52.57

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Solution

The fourth proportional to 168.12, 252.20 and 52.57 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 252.20 = 52.57 : x
  2. Step 2: Convert to fraction form
    168.12/252.20 = 52.57/x
  3. Step 3: Cross multiply
    168.12x = 252.20 × 52.57
  4. Step 4: Simplify right side
    168.12x = 13,258.40
  5. Step 5: Solve for x
    x = 13,258.40/168.12
  6. Step 6: Final answer
    x = 78.86

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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.