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Finding the Fourth Proportional to 12.38, 17.08 and 6.92

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Solution

The fourth proportional to 12.38, 17.08 and 6.92 is: 9.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 17.08 = 6.92 : x
  2. Step 2: Convert to fraction form
    12.38/17.08 = 6.92/x
  3. Step 3: Cross multiply
    12.38x = 17.08 × 6.92
  4. Step 4: Simplify right side
    12.38x = 118.15
  5. Step 5: Solve for x
    x = 118.15/12.38
  6. Step 6: Final answer
    x = 9.55

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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.