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Finding the Fourth Proportional to 78.00, 107.66 and 51.82

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Solution

The fourth proportional to 78.00, 107.66 and 51.82 is: 71.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.00 : 107.66 = 51.82 : x
  2. Step 2: Convert to fraction form
    78.00/107.66 = 51.82/x
  3. Step 3: Cross multiply
    78.00x = 107.66 × 51.82
  4. Step 4: Simplify right side
    78.00x = 5,578.80
  5. Step 5: Solve for x
    x = 5,578.80/78.00
  6. Step 6: Final answer
    x = 71.52

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