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Finding the Fourth Proportional to 76.78, 105.91 and 47.69

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Solution

The fourth proportional to 76.78, 105.91 and 47.69 is: 65.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 105.91 = 47.69 : x
  2. Step 2: Convert to fraction form
    76.78/105.91 = 47.69/x
  3. Step 3: Cross multiply
    76.78x = 105.91 × 47.69
  4. Step 4: Simplify right side
    76.78x = 5,050.85
  5. Step 5: Solve for x
    x = 5,050.85/76.78
  6. Step 6: Final answer
    x = 65.78

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