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Finding the Fourth Proportional to 105.82, 158.42 and 99.95

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Solution

The fourth proportional to 105.82, 158.42 and 99.95 is: 149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.42 = 99.95 : x
  2. Step 2: Convert to fraction form
    105.82/158.42 = 99.95/x
  3. Step 3: Cross multiply
    105.82x = 158.42 × 99.95
  4. Step 4: Simplify right side
    105.82x = 15,833.54
  5. Step 5: Solve for x
    x = 15,833.54/105.82
  6. Step 6: Final answer
    x = 149.63

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