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Finding the Fourth Proportional to 142.54, 213.75 and 96.94

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Solution

The fourth proportional to 142.54, 213.75 and 96.94 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.54 : 213.75 = 96.94 : x
  2. Step 2: Convert to fraction form
    142.54/213.75 = 96.94/x
  3. Step 3: Cross multiply
    142.54x = 213.75 × 96.94
  4. Step 4: Simplify right side
    142.54x = 20,720.93
  5. Step 5: Solve for x
    x = 20,720.93/142.54
  6. Step 6: Final answer
    x = 145.37

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