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Finding the Fourth Proportional to 92.34, 137.75 and 82.09

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Solution

The fourth proportional to 92.34, 137.75 and 82.09 is: 122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.34 : 137.75 = 82.09 : x
  2. Step 2: Convert to fraction form
    92.34/137.75 = 82.09/x
  3. Step 3: Cross multiply
    92.34x = 137.75 × 82.09
  4. Step 4: Simplify right side
    92.34x = 11,307.73
  5. Step 5: Solve for x
    x = 11,307.73/92.34
  6. Step 6: Final answer
    x = 122.46

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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.