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Finding the Fourth Proportional to 76.82, 106.09 and 75.81

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Solution

The fourth proportional to 76.82, 106.09 and 75.81 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 106.09 = 75.81 : x
  2. Step 2: Convert to fraction form
    76.82/106.09 = 75.81/x
  3. Step 3: Cross multiply
    76.82x = 106.09 × 75.81
  4. Step 4: Simplify right side
    76.82x = 8,042.68
  5. Step 5: Solve for x
    x = 8,042.68/76.82
  6. Step 6: Final answer
    x = 104.70

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