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Finding the Fourth Proportional to 71.64, 107.80 and 54.64

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Solution

The fourth proportional to 71.64, 107.80 and 54.64 is: 82.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 107.80 = 54.64 : x
  2. Step 2: Convert to fraction form
    71.64/107.80 = 54.64/x
  3. Step 3: Cross multiply
    71.64x = 107.80 × 54.64
  4. Step 4: Simplify right side
    71.64x = 5,890.19
  5. Step 5: Solve for x
    x = 5,890.19/71.64
  6. Step 6: Final answer
    x = 82.22

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