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Finding the Fourth Proportional to 121.15, 182.61 and 110.89

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Solution

The fourth proportional to 121.15, 182.61 and 110.89 is: 167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.15 : 182.61 = 110.89 : x
  2. Step 2: Convert to fraction form
    121.15/182.61 = 110.89/x
  3. Step 3: Cross multiply
    121.15x = 182.61 × 110.89
  4. Step 4: Simplify right side
    121.15x = 20,249.62
  5. Step 5: Solve for x
    x = 20,249.62/121.15
  6. Step 6: Final answer
    x = 167.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.