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Finding the Fourth Proportional to 105.83, 158.87 and 83.08

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Solution

The fourth proportional to 105.83, 158.87 and 83.08 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 158.87 = 83.08 : x
  2. Step 2: Convert to fraction form
    105.83/158.87 = 83.08/x
  3. Step 3: Cross multiply
    105.83x = 158.87 × 83.08
  4. Step 4: Simplify right side
    105.83x = 13,198.73
  5. Step 5: Solve for x
    x = 13,198.73/105.83
  6. Step 6: Final answer
    x = 124.72

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