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Finding the Fourth Proportional to 77.02, 115.62 and 71.80

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Solution

The fourth proportional to 77.02, 115.62 and 71.80 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 115.62 = 71.80 : x
  2. Step 2: Convert to fraction form
    77.02/115.62 = 71.80/x
  3. Step 3: Cross multiply
    77.02x = 115.62 × 71.80
  4. Step 4: Simplify right side
    77.02x = 8,301.52
  5. Step 5: Solve for x
    x = 8,301.52/77.02
  6. Step 6: Final answer
    x = 107.78

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