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Finding the Fourth Proportional to 76.80, 105.98 and 41.83

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Solution

The fourth proportional to 76.80, 105.98 and 41.83 is: 57.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 105.98 = 41.83 : x
  2. Step 2: Convert to fraction form
    76.80/105.98 = 41.83/x
  3. Step 3: Cross multiply
    76.80x = 105.98 × 41.83
  4. Step 4: Simplify right side
    76.80x = 4,432.90
  5. Step 5: Solve for x
    x = 4,432.90/76.80
  6. Step 6: Final answer
    x = 57.72

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