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Finding the Fourth Proportional to 137.69, 190.04 and 82.43

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Solution

The fourth proportional to 137.69, 190.04 and 82.43 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.69 : 190.04 = 82.43 : x
  2. Step 2: Convert to fraction form
    137.69/190.04 = 82.43/x
  3. Step 3: Cross multiply
    137.69x = 190.04 × 82.43
  4. Step 4: Simplify right side
    137.69x = 15,663.63
  5. Step 5: Solve for x
    x = 15,663.63/137.69
  6. Step 6: Final answer
    x = 113.76

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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.