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Finding the Fourth Proportional to 142.26, 213.57 and 96.78

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Solution

The fourth proportional to 142.26, 213.57 and 96.78 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.26 : 213.57 = 96.78 : x
  2. Step 2: Convert to fraction form
    142.26/213.57 = 96.78/x
  3. Step 3: Cross multiply
    142.26x = 213.57 × 96.78
  4. Step 4: Simplify right side
    142.26x = 20,669.30
  5. Step 5: Solve for x
    x = 20,669.30/142.26
  6. Step 6: Final answer
    x = 145.29

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