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Finding the Fourth Proportional to 75.85, 113.78 and 51.82

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Solution

The fourth proportional to 75.85, 113.78 and 51.82 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.85 : 113.78 = 51.82 : x
  2. Step 2: Convert to fraction form
    75.85/113.78 = 51.82/x
  3. Step 3: Cross multiply
    75.85x = 113.78 × 51.82
  4. Step 4: Simplify right side
    75.85x = 5,895.25
  5. Step 5: Solve for x
    x = 5,895.25/75.85
  6. Step 6: Final answer
    x = 77.73

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