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Finding the Fourth Proportional to 112.86, 169.30 and 31.71

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Solution

The fourth proportional to 112.86, 169.30 and 31.71 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 169.30 = 31.71 : x
  2. Step 2: Convert to fraction form
    112.86/169.30 = 31.71/x
  3. Step 3: Cross multiply
    112.86x = 169.30 × 31.71
  4. Step 4: Simplify right side
    112.86x = 5,367.57
  5. Step 5: Solve for x
    x = 5,367.57/112.86
  6. Step 6: Final answer
    x = 47.56

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