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Finding the Fourth Proportional to 92.09, 137.44 and 82.96

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Solution

The fourth proportional to 92.09, 137.44 and 82.96 is: 123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 137.44 = 82.96 : x
  2. Step 2: Convert to fraction form
    92.09/137.44 = 82.96/x
  3. Step 3: Cross multiply
    92.09x = 137.44 × 82.96
  4. Step 4: Simplify right side
    92.09x = 11,402.02
  5. Step 5: Solve for x
    x = 11,402.02/92.09
  6. Step 6: Final answer
    x = 123.81

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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.