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Finding the Fourth Proportional to 67.23, 92.78 and 38.13

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Solution

The fourth proportional to 67.23, 92.78 and 38.13 is: 52.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.23 : 92.78 = 38.13 : x
  2. Step 2: Convert to fraction form
    67.23/92.78 = 38.13/x
  3. Step 3: Cross multiply
    67.23x = 92.78 × 38.13
  4. Step 4: Simplify right side
    67.23x = 3,537.70
  5. Step 5: Solve for x
    x = 3,537.70/67.23
  6. Step 6: Final answer
    x = 52.62

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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.