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Finding the Fourth Proportional to 167.08, 250.72 and 75.78

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Solution

The fourth proportional to 167.08, 250.72 and 75.78 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.08 : 250.72 = 75.78 : x
  2. Step 2: Convert to fraction form
    167.08/250.72 = 75.78/x
  3. Step 3: Cross multiply
    167.08x = 250.72 × 75.78
  4. Step 4: Simplify right side
    167.08x = 18,999.56
  5. Step 5: Solve for x
    x = 18,999.56/167.08
  6. Step 6: Final answer
    x = 113.72

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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.