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Finding the Fourth Proportional to 78.82, 108.74 and 49.66

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Solution

The fourth proportional to 78.82, 108.74 and 49.66 is: 68.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 108.74 = 49.66 : x
  2. Step 2: Convert to fraction form
    78.82/108.74 = 49.66/x
  3. Step 3: Cross multiply
    78.82x = 108.74 × 49.66
  4. Step 4: Simplify right side
    78.82x = 5,399.24
  5. Step 5: Solve for x
    x = 5,399.24/78.82
  6. Step 6: Final answer
    x = 68.51

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