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Finding the Fourth Proportional to 71.68, 107.76 and 64

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Solution

The fourth proportional to 71.68, 107.76 and 64 is: 96.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 107.76 = 64 : x
  2. Step 2: Convert to fraction form
    71.68/107.76 = 64/x
  3. Step 3: Cross multiply
    71.68x = 107.76 × 64
  4. Step 4: Simplify right side
    71.68x = 6,896.64
  5. Step 5: Solve for x
    x = 6,896.64/71.68
  6. Step 6: Final answer
    x = 96.21

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