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Finding the Fourth Proportional to 80.08, 120 and 31.96

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Solution

The fourth proportional to 80.08, 120 and 31.96 is: 47.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.08 : 120 = 31.96 : x
  2. Step 2: Convert to fraction form
    80.08/120 = 31.96/x
  3. Step 3: Cross multiply
    80.08x = 120 × 31.96
  4. Step 4: Simplify right side
    80.08x = 3,835.20
  5. Step 5: Solve for x
    x = 3,835.20/80.08
  6. Step 6: Final answer
    x = 47.89

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