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Finding the Fourth Proportional to 121.70, 182.46 and 81.11

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Solution

The fourth proportional to 121.70, 182.46 and 81.11 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.70 : 182.46 = 81.11 : x
  2. Step 2: Convert to fraction form
    121.70/182.46 = 81.11/x
  3. Step 3: Cross multiply
    121.70x = 182.46 × 81.11
  4. Step 4: Simplify right side
    121.70x = 14,799.33
  5. Step 5: Solve for x
    x = 14,799.33/121.70
  6. Step 6: Final answer
    x = 121.61

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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.