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Finding the Fourth Proportional to 92.69, 138.38 and 82.44

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Solution

The fourth proportional to 92.69, 138.38 and 82.44 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.69 : 138.38 = 82.44 : x
  2. Step 2: Convert to fraction form
    92.69/138.38 = 82.44/x
  3. Step 3: Cross multiply
    92.69x = 138.38 × 82.44
  4. Step 4: Simplify right side
    92.69x = 11,408.72
  5. Step 5: Solve for x
    x = 11,408.72/92.69
  6. Step 6: Final answer
    x = 123.08

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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.