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Finding the Fourth Proportional to 78, 107.69 and 61.60

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Solution

The fourth proportional to 78, 107.69 and 61.60 is: 85.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.69 = 61.60 : x
  2. Step 2: Convert to fraction form
    78/107.69 = 61.60/x
  3. Step 3: Cross multiply
    78x = 107.69 × 61.60
  4. Step 4: Simplify right side
    78x = 6,633.70
  5. Step 5: Solve for x
    x = 6,633.70/78
  6. Step 6: Final answer
    x = 85.05

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