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Finding the Fourth Proportional to 67.72, 93.46 and 38.22

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Solution

The fourth proportional to 67.72, 93.46 and 38.22 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.72 : 93.46 = 38.22 : x
  2. Step 2: Convert to fraction form
    67.72/93.46 = 38.22/x
  3. Step 3: Cross multiply
    67.72x = 93.46 × 38.22
  4. Step 4: Simplify right side
    67.72x = 3,571.85
  5. Step 5: Solve for x
    x = 3,571.85/67.72
  6. Step 6: Final answer
    x = 52.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.