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Finding the Fourth Proportional to 122.49, 184.46 and 110.43

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Solution

The fourth proportional to 122.49, 184.46 and 110.43 is: 166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.49 : 184.46 = 110.43 : x
  2. Step 2: Convert to fraction form
    122.49/184.46 = 110.43/x
  3. Step 3: Cross multiply
    122.49x = 184.46 × 110.43
  4. Step 4: Simplify right side
    122.49x = 20,369.37
  5. Step 5: Solve for x
    x = 20,369.37/122.49
  6. Step 6: Final answer
    x = 166.29

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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.