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Finding the Fourth Proportional to 137.94, 190.37 and 82.70

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Solution

The fourth proportional to 137.94, 190.37 and 82.70 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 190.37 = 82.70 : x
  2. Step 2: Convert to fraction form
    137.94/190.37 = 82.70/x
  3. Step 3: Cross multiply
    137.94x = 190.37 × 82.70
  4. Step 4: Simplify right side
    137.94x = 15,743.97
  5. Step 5: Solve for x
    x = 15,743.97/137.94
  6. Step 6: Final answer
    x = 114.14

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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.