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Finding the Fourth Proportional to 137.26, 189.42 and 82

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Solution

The fourth proportional to 137.26, 189.42 and 82 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.26 : 189.42 = 82 : x
  2. Step 2: Convert to fraction form
    137.26/189.42 = 82/x
  3. Step 3: Cross multiply
    137.26x = 189.42 × 82
  4. Step 4: Simplify right side
    137.26x = 15,532.44
  5. Step 5: Solve for x
    x = 15,532.44/137.26
  6. Step 6: Final answer
    x = 113.16

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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.