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Finding the Fourth Proportional to 13.24, 20.02 and 12.92

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Solution

The fourth proportional to 13.24, 20.02 and 12.92 is: 19.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 20.02 = 12.92 : x
  2. Step 2: Convert to fraction form
    13.24/20.02 = 12.92/x
  3. Step 3: Cross multiply
    13.24x = 20.02 × 12.92
  4. Step 4: Simplify right side
    13.24x = 258.66
  5. Step 5: Solve for x
    x = 258.66/13.24
  6. Step 6: Final answer
    x = 19.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.