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Finding the Fourth Proportional to 80.74, 120.84 and 77.68

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Solution

The fourth proportional to 80.74, 120.84 and 77.68 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.74 : 120.84 = 77.68 : x
  2. Step 2: Convert to fraction form
    80.74/120.84 = 77.68/x
  3. Step 3: Cross multiply
    80.74x = 120.84 × 77.68
  4. Step 4: Simplify right side
    80.74x = 9,386.85
  5. Step 5: Solve for x
    x = 9,386.85/80.74
  6. Step 6: Final answer
    x = 116.26

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