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Finding the Fourth Proportional to 119.80, 165.13 and 82.90

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Solution

The fourth proportional to 119.80, 165.13 and 82.90 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 165.13 = 82.90 : x
  2. Step 2: Convert to fraction form
    119.80/165.13 = 82.90/x
  3. Step 3: Cross multiply
    119.80x = 165.13 × 82.90
  4. Step 4: Simplify right side
    119.80x = 13,689.28
  5. Step 5: Solve for x
    x = 13,689.28/119.80
  6. Step 6: Final answer
    x = 114.27

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