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Finding the Fourth Proportional to 78.12, 107.71 and 49

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Solution

The fourth proportional to 78.12, 107.71 and 49 is: 67.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.12 : 107.71 = 49 : x
  2. Step 2: Convert to fraction form
    78.12/107.71 = 49/x
  3. Step 3: Cross multiply
    78.12x = 107.71 × 49
  4. Step 4: Simplify right side
    78.12x = 5,277.79
  5. Step 5: Solve for x
    x = 5,277.79/78.12
  6. Step 6: Final answer
    x = 67.56

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