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Finding the Fourth Proportional to 13.82, 20.70 and 10.96

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Solution

The fourth proportional to 13.82, 20.70 and 10.96 is: 16.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 20.70 = 10.96 : x
  2. Step 2: Convert to fraction form
    13.82/20.70 = 10.96/x
  3. Step 3: Cross multiply
    13.82x = 20.70 × 10.96
  4. Step 4: Simplify right side
    13.82x = 226.82
  5. Step 5: Solve for x
    x = 226.82/13.82
  6. Step 6: Final answer
    x = 16.41

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