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Finding the Fourth Proportional to 120.68, 180.89 and 77.37

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Solution

The fourth proportional to 120.68, 180.89 and 77.37 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.68 : 180.89 = 77.37 : x
  2. Step 2: Convert to fraction form
    120.68/180.89 = 77.37/x
  3. Step 3: Cross multiply
    120.68x = 180.89 × 77.37
  4. Step 4: Simplify right side
    120.68x = 13,995.46
  5. Step 5: Solve for x
    x = 13,995.46/120.68
  6. Step 6: Final answer
    x = 115.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.