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Finding the Fourth Proportional to 12.38, 18.60 and 9.54

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Solution

The fourth proportional to 12.38, 18.60 and 9.54 is: 14.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 18.60 = 9.54 : x
  2. Step 2: Convert to fraction form
    12.38/18.60 = 9.54/x
  3. Step 3: Cross multiply
    12.38x = 18.60 × 9.54
  4. Step 4: Simplify right side
    12.38x = 177.44
  5. Step 5: Solve for x
    x = 177.44/12.38
  6. Step 6: Final answer
    x = 14.33

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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.