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Finding the Fourth Proportional to 137.91, 205.70 and 119.73

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Solution

The fourth proportional to 137.91, 205.70 and 119.73 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 205.70 = 119.73 : x
  2. Step 2: Convert to fraction form
    137.91/205.70 = 119.73/x
  3. Step 3: Cross multiply
    137.91x = 205.70 × 119.73
  4. Step 4: Simplify right side
    137.91x = 24,628.46
  5. Step 5: Solve for x
    x = 24,628.46/137.91
  6. Step 6: Final answer
    x = 178.58

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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.