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Finding the Fourth Proportional to 121.28, 180.67 and 113.81

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Solution

The fourth proportional to 121.28, 180.67 and 113.81 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.28 : 180.67 = 113.81 : x
  2. Step 2: Convert to fraction form
    121.28/180.67 = 113.81/x
  3. Step 3: Cross multiply
    121.28x = 180.67 × 113.81
  4. Step 4: Simplify right side
    121.28x = 20,561.03
  5. Step 5: Solve for x
    x = 20,561.03/121.28
  6. Step 6: Final answer
    x = 169.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.