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Finding the Fourth Proportional to 137.61, 189.94 and 82.39

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Solution

The fourth proportional to 137.61, 189.94 and 82.39 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 189.94 = 82.39 : x
  2. Step 2: Convert to fraction form
    137.61/189.94 = 82.39/x
  3. Step 3: Cross multiply
    137.61x = 189.94 × 82.39
  4. Step 4: Simplify right side
    137.61x = 15,649.16
  5. Step 5: Solve for x
    x = 15,649.16/137.61
  6. Step 6: Final answer
    x = 113.72

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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.