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Finding the Fourth Proportional to 78.13, 107.71 and 53.56

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Solution

The fourth proportional to 78.13, 107.71 and 53.56 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 107.71 = 53.56 : x
  2. Step 2: Convert to fraction form
    78.13/107.71 = 53.56/x
  3. Step 3: Cross multiply
    78.13x = 107.71 × 53.56
  4. Step 4: Simplify right side
    78.13x = 5,768.95
  5. Step 5: Solve for x
    x = 5,768.95/78.13
  6. Step 6: Final answer
    x = 73.84

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