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Finding the Fourth Proportional to 168.14, 251.83 and 76.71

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Solution

The fourth proportional to 168.14, 251.83 and 76.71 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 251.83 = 76.71 : x
  2. Step 2: Convert to fraction form
    168.14/251.83 = 76.71/x
  3. Step 3: Cross multiply
    168.14x = 251.83 × 76.71
  4. Step 4: Simplify right side
    168.14x = 19,317.88
  5. Step 5: Solve for x
    x = 19,317.88/168.14
  6. Step 6: Final answer
    x = 114.89

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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.