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Finding the Fourth Proportional to 80.44, 120.80 and 77

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Solution

The fourth proportional to 80.44, 120.80 and 77 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 120.80 = 77 : x
  2. Step 2: Convert to fraction form
    80.44/120.80 = 77/x
  3. Step 3: Cross multiply
    80.44x = 120.80 × 77
  4. Step 4: Simplify right side
    80.44x = 9,301.60
  5. Step 5: Solve for x
    x = 9,301.60/80.44
  6. Step 6: Final answer
    x = 115.63

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