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Finding the Fourth Proportional to 75.94, 113.91 and 27.82

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Solution

The fourth proportional to 75.94, 113.91 and 27.82 is: 41.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 113.91 = 27.82 : x
  2. Step 2: Convert to fraction form
    75.94/113.91 = 27.82/x
  3. Step 3: Cross multiply
    75.94x = 113.91 × 27.82
  4. Step 4: Simplify right side
    75.94x = 3,168.98
  5. Step 5: Solve for x
    x = 3,168.98/75.94
  6. Step 6: Final answer
    x = 41.73

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