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Finding the Fourth Proportional to 12.05, 16.64 and 11.78

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Solution

The fourth proportional to 12.05, 16.64 and 11.78 is: 16.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.64 = 11.78 : x
  2. Step 2: Convert to fraction form
    12.05/16.64 = 11.78/x
  3. Step 3: Cross multiply
    12.05x = 16.64 × 11.78
  4. Step 4: Simplify right side
    12.05x = 195.88
  5. Step 5: Solve for x
    x = 195.88/12.05
  6. Step 6: Final answer
    x = 16.26

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