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Finding the Fourth Proportional to 77.78, 107.12 and 71.71

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Solution

The fourth proportional to 77.78, 107.12 and 71.71 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.78 : 107.12 = 71.71 : x
  2. Step 2: Convert to fraction form
    77.78/107.12 = 71.71/x
  3. Step 3: Cross multiply
    77.78x = 107.12 × 71.71
  4. Step 4: Simplify right side
    77.78x = 7,681.49
  5. Step 5: Solve for x
    x = 7,681.49/77.78
  6. Step 6: Final answer
    x = 98.76

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