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Finding the Fourth Proportional to 75.78, 113.61 and 33.06

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Solution

The fourth proportional to 75.78, 113.61 and 33.06 is: 49.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 113.61 = 33.06 : x
  2. Step 2: Convert to fraction form
    75.78/113.61 = 33.06/x
  3. Step 3: Cross multiply
    75.78x = 113.61 × 33.06
  4. Step 4: Simplify right side
    75.78x = 3,755.95
  5. Step 5: Solve for x
    x = 3,755.95/75.78
  6. Step 6: Final answer
    x = 49.56

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