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Finding the Fourth Proportional to 136.72, 188.83 and 122.24

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Solution

The fourth proportional to 136.72, 188.83 and 122.24 is: 168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 188.83 = 122.24 : x
  2. Step 2: Convert to fraction form
    136.72/188.83 = 122.24/x
  3. Step 3: Cross multiply
    136.72x = 188.83 × 122.24
  4. Step 4: Simplify right side
    136.72x = 23,083.20
  5. Step 5: Solve for x
    x = 23,083.20/136.72
  6. Step 6: Final answer
    x = 168.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.