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Finding the Fourth Proportional to 121.98, 182.48 and 110.73

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Solution

The fourth proportional to 121.98, 182.48 and 110.73 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 182.48 = 110.73 : x
  2. Step 2: Convert to fraction form
    121.98/182.48 = 110.73/x
  3. Step 3: Cross multiply
    121.98x = 182.48 × 110.73
  4. Step 4: Simplify right side
    121.98x = 20,206.01
  5. Step 5: Solve for x
    x = 20,206.01/121.98
  6. Step 6: Final answer
    x = 165.65

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Why These Related Problems?

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