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Finding the Fourth Proportional to 76.82, 105.98 and 45.74

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Solution

The fourth proportional to 76.82, 105.98 and 45.74 is: 63.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.98 = 45.74 : x
  2. Step 2: Convert to fraction form
    76.82/105.98 = 45.74/x
  3. Step 3: Cross multiply
    76.82x = 105.98 × 45.74
  4. Step 4: Simplify right side
    76.82x = 4,847.56
  5. Step 5: Solve for x
    x = 4,847.56/76.82
  6. Step 6: Final answer
    x = 63.11

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