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Finding the Fourth Proportional to 122.49, 182.73 and 119.70

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Solution

The fourth proportional to 122.49, 182.73 and 119.70 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.49 : 182.73 = 119.70 : x
  2. Step 2: Convert to fraction form
    122.49/182.73 = 119.70/x
  3. Step 3: Cross multiply
    122.49x = 182.73 × 119.70
  4. Step 4: Simplify right side
    122.49x = 21,872.78
  5. Step 5: Solve for x
    x = 21,872.78/122.49
  6. Step 6: Final answer
    x = 178.57

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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.