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Finding the Fourth Proportional to 81.20, 121.80 and 77.60

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Solution

The fourth proportional to 81.20, 121.80 and 77.60 is: 116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.20 : 121.80 = 77.60 : x
  2. Step 2: Convert to fraction form
    81.20/121.80 = 77.60/x
  3. Step 3: Cross multiply
    81.20x = 121.80 × 77.60
  4. Step 4: Simplify right side
    81.20x = 9,451.68
  5. Step 5: Solve for x
    x = 9,451.68/81.20
  6. Step 6: Final answer
    x = 116.40

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