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Finding the Fourth Proportional to 168.02, 251.94 and 71.78

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Solution

The fourth proportional to 168.02, 251.94 and 71.78 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 251.94 = 71.78 : x
  2. Step 2: Convert to fraction form
    168.02/251.94 = 71.78/x
  3. Step 3: Cross multiply
    168.02x = 251.94 × 71.78
  4. Step 4: Simplify right side
    168.02x = 18,084.25
  5. Step 5: Solve for x
    x = 18,084.25/168.02
  6. Step 6: Final answer
    x = 107.63

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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.