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Finding the Fourth Proportional to 168.09, 252.06 and 76.83

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Solution

The fourth proportional to 168.09, 252.06 and 76.83 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.09 : 252.06 = 76.83 : x
  2. Step 2: Convert to fraction form
    168.09/252.06 = 76.83/x
  3. Step 3: Cross multiply
    168.09x = 252.06 × 76.83
  4. Step 4: Simplify right side
    168.09x = 19,365.77
  5. Step 5: Solve for x
    x = 19,365.77/168.09
  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.