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Finding the Fourth Proportional to 122.27, 184.33 and 114.44

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Solution

The fourth proportional to 122.27, 184.33 and 114.44 is: 172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.27 : 184.33 = 114.44 : x
  2. Step 2: Convert to fraction form
    122.27/184.33 = 114.44/x
  3. Step 3: Cross multiply
    122.27x = 184.33 × 114.44
  4. Step 4: Simplify right side
    122.27x = 21,094.90
  5. Step 5: Solve for x
    x = 21,094.90/122.27
  6. Step 6: Final answer
    x = 172.52

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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.