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Finding the Fourth Proportional to 78.23, 108.00 and 53.71

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Solution

The fourth proportional to 78.23, 108.00 and 53.71 is: 74.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 108.00 = 53.71 : x
  2. Step 2: Convert to fraction form
    78.23/108.00 = 53.71/x
  3. Step 3: Cross multiply
    78.23x = 108.00 × 53.71
  4. Step 4: Simplify right side
    78.23x = 5,799.87
  5. Step 5: Solve for x
    x = 5,799.87/78.23
  6. Step 6: Final answer
    x = 74.14

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