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Finding the Fourth Proportional to 135.23, 202.91 and 96.82

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Solution

The fourth proportional to 135.23, 202.91 and 96.82 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.23 : 202.91 = 96.82 : x
  2. Step 2: Convert to fraction form
    135.23/202.91 = 96.82/x
  3. Step 3: Cross multiply
    135.23x = 202.91 × 96.82
  4. Step 4: Simplify right side
    135.23x = 19,644.75
  5. Step 5: Solve for x
    x = 19,644.75/135.23
  6. Step 6: Final answer
    x = 145.27

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