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Finding the Fourth Proportional to 120.37, 180.10 and 89.83

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Solution

The fourth proportional to 120.37, 180.10 and 89.83 is: 134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 180.10 = 89.83 : x
  2. Step 2: Convert to fraction form
    120.37/180.10 = 89.83/x
  3. Step 3: Cross multiply
    120.37x = 180.10 × 89.83
  4. Step 4: Simplify right side
    120.37x = 16,178.38
  5. Step 5: Solve for x
    x = 16,178.38/120.37
  6. Step 6: Final answer
    x = 134.41

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