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Finding the Fourth Proportional to 120.24, 180.33 and 37.95

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Solution

The fourth proportional to 120.24, 180.33 and 37.95 is: 56.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.33 = 37.95 : x
  2. Step 2: Convert to fraction form
    120.24/180.33 = 37.95/x
  3. Step 3: Cross multiply
    120.24x = 180.33 × 37.95
  4. Step 4: Simplify right side
    120.24x = 6,843.52
  5. Step 5: Solve for x
    x = 6,843.52/120.24
  6. Step 6: Final answer
    x = 56.92

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