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Finding the Fourth Proportional to 120.19, 165.75 and 95.71

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Solution

The fourth proportional to 120.19, 165.75 and 95.71 is: 131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 165.75 = 95.71 : x
  2. Step 2: Convert to fraction form
    120.19/165.75 = 95.71/x
  3. Step 3: Cross multiply
    120.19x = 165.75 × 95.71
  4. Step 4: Simplify right side
    120.19x = 15,863.93
  5. Step 5: Solve for x
    x = 15,863.93/120.19
  6. Step 6: Final answer
    x = 131.99

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