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Finding the Fourth Proportional to 78.19, 117.38 and 71.91

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Solution

The fourth proportional to 78.19, 117.38 and 71.91 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.19 : 117.38 = 71.91 : x
  2. Step 2: Convert to fraction form
    78.19/117.38 = 71.91/x
  3. Step 3: Cross multiply
    78.19x = 117.38 × 71.91
  4. Step 4: Simplify right side
    78.19x = 8,440.98
  5. Step 5: Solve for x
    x = 8,440.98/78.19
  6. Step 6: Final answer
    x = 107.96

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