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Finding the Fourth Proportional to 75.92, 113.97 and 75.59

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Solution

The fourth proportional to 75.92, 113.97 and 75.59 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.92 : 113.97 = 75.59 : x
  2. Step 2: Convert to fraction form
    75.92/113.97 = 75.59/x
  3. Step 3: Cross multiply
    75.92x = 113.97 × 75.59
  4. Step 4: Simplify right side
    75.92x = 8,614.99
  5. Step 5: Solve for x
    x = 8,614.99/75.92
  6. Step 6: Final answer
    x = 113.47

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