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Finding the Fourth Proportional to 122.06, 183.82 and 111.34

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Solution

The fourth proportional to 122.06, 183.82 and 111.34 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 183.82 = 111.34 : x
  2. Step 2: Convert to fraction form
    122.06/183.82 = 111.34/x
  3. Step 3: Cross multiply
    122.06x = 183.82 × 111.34
  4. Step 4: Simplify right side
    122.06x = 20,466.52
  5. Step 5: Solve for x
    x = 20,466.52/122.06
  6. Step 6: Final answer
    x = 167.68

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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.