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Finding the Fourth Proportional to 14, 20.96 and 10.38

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Solution

The fourth proportional to 14, 20.96 and 10.38 is: 15.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 20.96 = 10.38 : x
  2. Step 2: Convert to fraction form
    14/20.96 = 10.38/x
  3. Step 3: Cross multiply
    14x = 20.96 × 10.38
  4. Step 4: Simplify right side
    14x = 217.56
  5. Step 5: Solve for x
    x = 217.56/14
  6. Step 6: Final answer
    x = 15.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.