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Finding the Fourth Proportional to 168.23, 252.23 and 75.66

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Solution

The fourth proportional to 168.23, 252.23 and 75.66 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.23 : 252.23 = 75.66 : x
  2. Step 2: Convert to fraction form
    168.23/252.23 = 75.66/x
  3. Step 3: Cross multiply
    168.23x = 252.23 × 75.66
  4. Step 4: Simplify right side
    168.23x = 19,083.34
  5. Step 5: Solve for x
    x = 19,083.34/168.23
  6. Step 6: Final answer
    x = 113.44

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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.