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Finding the Fourth Proportional to 12.33, 17.03 and 9.92

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Solution

The fourth proportional to 12.33, 17.03 and 9.92 is: 13.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.33 : 17.03 = 9.92 : x
  2. Step 2: Convert to fraction form
    12.33/17.03 = 9.92/x
  3. Step 3: Cross multiply
    12.33x = 17.03 × 9.92
  4. Step 4: Simplify right side
    12.33x = 169.00
  5. Step 5: Solve for x
    x = 169.00/12.33
  6. Step 6: Final answer
    x = 13.71

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