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Finding the Fourth Proportional to 105.88, 158.82 and 75.46

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Solution

The fourth proportional to 105.88, 158.82 and 75.46 is: 113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 158.82 = 75.46 : x
  2. Step 2: Convert to fraction form
    105.88/158.82 = 75.46/x
  3. Step 3: Cross multiply
    105.88x = 158.82 × 75.46
  4. Step 4: Simplify right side
    105.88x = 11,984.56
  5. Step 5: Solve for x
    x = 11,984.56/105.88
  6. Step 6: Final answer
    x = 113.19

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