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Finding the Fourth Proportional to 67.24, 92.80 and 38.13

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Solution

The fourth proportional to 67.24, 92.80 and 38.13 is: 52.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.24 : 92.80 = 38.13 : x
  2. Step 2: Convert to fraction form
    67.24/92.80 = 38.13/x
  3. Step 3: Cross multiply
    67.24x = 92.80 × 38.13
  4. Step 4: Simplify right side
    67.24x = 3,538.72
  5. Step 5: Solve for x
    x = 3,538.72/67.24
  6. Step 6: Final answer
    x = 52.63

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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.