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Finding the Fourth Proportional to 142.14, 213.13 and 96.44

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Solution

The fourth proportional to 142.14, 213.13 and 96.44 is: 144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 213.13 = 96.44 : x
  2. Step 2: Convert to fraction form
    142.14/213.13 = 96.44/x
  3. Step 3: Cross multiply
    142.14x = 213.13 × 96.44
  4. Step 4: Simplify right side
    142.14x = 20,554.26
  5. Step 5: Solve for x
    x = 20,554.26/142.14
  6. Step 6: Final answer
    x = 144.61

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