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Finding the Fourth Proportional to 168.27, 252.33 and 77.01

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Solution

The fourth proportional to 168.27, 252.33 and 77.01 is: 115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 252.33 = 77.01 : x
  2. Step 2: Convert to fraction form
    168.27/252.33 = 77.01/x
  3. Step 3: Cross multiply
    168.27x = 252.33 × 77.01
  4. Step 4: Simplify right side
    168.27x = 19,431.93
  5. Step 5: Solve for x
    x = 19,431.93/168.27
  6. Step 6: Final answer
    x = 115.48

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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.