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Finding the Fourth Proportional to 168.20, 252.24 and 65.44

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Solution

The fourth proportional to 168.20, 252.24 and 65.44 is: 98.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 252.24 = 65.44 : x
  2. Step 2: Convert to fraction form
    168.20/252.24 = 65.44/x
  3. Step 3: Cross multiply
    168.20x = 252.24 × 65.44
  4. Step 4: Simplify right side
    168.20x = 16,506.59
  5. Step 5: Solve for x
    x = 16,506.59/168.20
  6. Step 6: Final answer
    x = 98.14

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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.