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Finding the Fourth Proportional to 75.93, 113.85 and 24.56

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Solution

The fourth proportional to 75.93, 113.85 and 24.56 is: 36.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 113.85 = 24.56 : x
  2. Step 2: Convert to fraction form
    75.93/113.85 = 24.56/x
  3. Step 3: Cross multiply
    75.93x = 113.85 × 24.56
  4. Step 4: Simplify right side
    75.93x = 2,795.59
  5. Step 5: Solve for x
    x = 2,795.59/75.93
  6. Step 6: Final answer
    x = 36.82

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