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Finding the Fourth Proportional to 90.82, 125.23 and 82.18

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Solution

The fourth proportional to 90.82, 125.23 and 82.18 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 125.23 = 82.18 : x
  2. Step 2: Convert to fraction form
    90.82/125.23 = 82.18/x
  3. Step 3: Cross multiply
    90.82x = 125.23 × 82.18
  4. Step 4: Simplify right side
    90.82x = 10,290.36
  5. Step 5: Solve for x
    x = 10,290.36/90.82
  6. Step 6: Final answer
    x = 113.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.