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Finding the Fourth Proportional to 120.92, 181.44 and 82.38

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Solution

The fourth proportional to 120.92, 181.44 and 82.38 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.92 : 181.44 = 82.38 : x
  2. Step 2: Convert to fraction form
    120.92/181.44 = 82.38/x
  3. Step 3: Cross multiply
    120.92x = 181.44 × 82.38
  4. Step 4: Simplify right side
    120.92x = 14,946.72
  5. Step 5: Solve for x
    x = 14,946.72/120.92
  6. Step 6: Final answer
    x = 123.61

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