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Finding the Fourth Proportional to 92.25, 138.33 and 82.22

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Solution

The fourth proportional to 92.25, 138.33 and 82.22 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 138.33 = 82.22 : x
  2. Step 2: Convert to fraction form
    92.25/138.33 = 82.22/x
  3. Step 3: Cross multiply
    92.25x = 138.33 × 82.22
  4. Step 4: Simplify right side
    92.25x = 11,372.80
  5. Step 5: Solve for x
    x = 11,372.80/92.25
  6. Step 6: Final answer
    x = 123.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.