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Finding the Fourth Proportional to 77.82, 116.00 and 73.14

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Solution

The fourth proportional to 77.82, 116.00 and 73.14 is: 109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 116.00 = 73.14 : x
  2. Step 2: Convert to fraction form
    77.82/116.00 = 73.14/x
  3. Step 3: Cross multiply
    77.82x = 116.00 × 73.14
  4. Step 4: Simplify right side
    77.82x = 8,483.87
  5. Step 5: Solve for x
    x = 8,483.87/77.82
  6. Step 6: Final answer
    x = 109.02

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