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Finding the Fourth Proportional to 121.06, 180.37 and 116.72

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Solution

The fourth proportional to 121.06, 180.37 and 116.72 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.06 : 180.37 = 116.72 : x
  2. Step 2: Convert to fraction form
    121.06/180.37 = 116.72/x
  3. Step 3: Cross multiply
    121.06x = 180.37 × 116.72
  4. Step 4: Simplify right side
    121.06x = 21,052.79
  5. Step 5: Solve for x
    x = 21,052.79/121.06
  6. Step 6: Final answer
    x = 173.90

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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.