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Finding the Fourth Proportional to 71.82, 107.64 and 46.13

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Solution

The fourth proportional to 71.82, 107.64 and 46.13 is: 69.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.64 = 46.13 : x
  2. Step 2: Convert to fraction form
    71.82/107.64 = 46.13/x
  3. Step 3: Cross multiply
    71.82x = 107.64 × 46.13
  4. Step 4: Simplify right side
    71.82x = 4,964.90
  5. Step 5: Solve for x
    x = 4,964.90/71.82
  6. Step 6: Final answer
    x = 69.13

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