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Finding the Fourth Proportional to 78.24, 107.85 and 61.84

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Solution

The fourth proportional to 78.24, 107.85 and 61.84 is: 85.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 107.85 = 61.84 : x
  2. Step 2: Convert to fraction form
    78.24/107.85 = 61.84/x
  3. Step 3: Cross multiply
    78.24x = 107.85 × 61.84
  4. Step 4: Simplify right side
    78.24x = 6,668.60
  5. Step 5: Solve for x
    x = 6,668.60/78.24
  6. Step 6: Final answer
    x = 85.23

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