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Finding the Fourth Proportional to 123.22, 183.82 and 119.87

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Solution

The fourth proportional to 123.22, 183.82 and 119.87 is: 178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 183.82 = 119.87 : x
  2. Step 2: Convert to fraction form
    123.22/183.82 = 119.87/x
  3. Step 3: Cross multiply
    123.22x = 183.82 × 119.87
  4. Step 4: Simplify right side
    123.22x = 22,034.57
  5. Step 5: Solve for x
    x = 22,034.57/123.22
  6. Step 6: Final answer
    x = 178.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.