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Finding the Fourth Proportional to 168.34, 252.53 and 72.13

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Solution

The fourth proportional to 168.34, 252.53 and 72.13 is: 108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.34 : 252.53 = 72.13 : x
  2. Step 2: Convert to fraction form
    168.34/252.53 = 72.13/x
  3. Step 3: Cross multiply
    168.34x = 252.53 × 72.13
  4. Step 4: Simplify right side
    168.34x = 18,213.37
  5. Step 5: Solve for x
    x = 18,213.37/168.34
  6. Step 6: Final answer
    x = 108.20

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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.