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Finding the Fourth Proportional to 168.07, 252.24 and 76.77

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Solution

The fourth proportional to 168.07, 252.24 and 76.77 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.07 : 252.24 = 76.77 : x
  2. Step 2: Convert to fraction form
    168.07/252.24 = 76.77/x
  3. Step 3: Cross multiply
    168.07x = 252.24 × 76.77
  4. Step 4: Simplify right side
    168.07x = 19,364.08
  5. Step 5: Solve for x
    x = 19,364.08/168.07
  6. Step 6: Final answer
    x = 115.21

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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.