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Finding the Fourth Proportional to 120.76, 180.90 and 55.69

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Solution

The fourth proportional to 120.76, 180.90 and 55.69 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.76 : 180.90 = 55.69 : x
  2. Step 2: Convert to fraction form
    120.76/180.90 = 55.69/x
  3. Step 3: Cross multiply
    120.76x = 180.90 × 55.69
  4. Step 4: Simplify right side
    120.76x = 10,073.87
  5. Step 5: Solve for x
    x = 10,073.87/120.76
  6. Step 6: Final answer
    x = 83.42

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