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Finding the Fourth Proportional to 75.88, 113.78 and 27.75

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Solution

The fourth proportional to 75.88, 113.78 and 27.75 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.88 : 113.78 = 27.75 : x
  2. Step 2: Convert to fraction form
    75.88/113.78 = 27.75/x
  3. Step 3: Cross multiply
    75.88x = 113.78 × 27.75
  4. Step 4: Simplify right side
    75.88x = 3,157.46
  5. Step 5: Solve for x
    x = 3,157.46/75.88
  6. Step 6: Final answer
    x = 41.61

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