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Finding the Fourth Proportional to 31.23, 46.81 and 11.96

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Solution

The fourth proportional to 31.23, 46.81 and 11.96 is: 17.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.23 : 46.81 = 11.96 : x
  2. Step 2: Convert to fraction form
    31.23/46.81 = 11.96/x
  3. Step 3: Cross multiply
    31.23x = 46.81 × 11.96
  4. Step 4: Simplify right side
    31.23x = 559.72
  5. Step 5: Solve for x
    x = 559.72/31.23
  6. Step 6: Final answer
    x = 17.92

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