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Finding the Fourth Proportional to 80.02, 120.08 and 31.96

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Solution

The fourth proportional to 80.02, 120.08 and 31.96 is: 47.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 120.08 = 31.96 : x
  2. Step 2: Convert to fraction form
    80.02/120.08 = 31.96/x
  3. Step 3: Cross multiply
    80.02x = 120.08 × 31.96
  4. Step 4: Simplify right side
    80.02x = 3,837.76
  5. Step 5: Solve for x
    x = 3,837.76/80.02
  6. Step 6: Final answer
    x = 47.96

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