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Finding the Fourth Proportional to 78.05, 116.96 and 41.87

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Solution

The fourth proportional to 78.05, 116.96 and 41.87 is: 62.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 116.96 = 41.87 : x
  2. Step 2: Convert to fraction form
    78.05/116.96 = 41.87/x
  3. Step 3: Cross multiply
    78.05x = 116.96 × 41.87
  4. Step 4: Simplify right side
    78.05x = 4,896.91
  5. Step 5: Solve for x
    x = 4,896.91/78.05
  6. Step 6: Final answer
    x = 62.74

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