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Finding the Fourth Proportional to 139.98, 209.43 and 82.26

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Solution

The fourth proportional to 139.98, 209.43 and 82.26 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.98 : 209.43 = 82.26 : x
  2. Step 2: Convert to fraction form
    139.98/209.43 = 82.26/x
  3. Step 3: Cross multiply
    139.98x = 209.43 × 82.26
  4. Step 4: Simplify right side
    139.98x = 17,227.71
  5. Step 5: Solve for x
    x = 17,227.71/139.98
  6. Step 6: Final answer
    x = 123.07

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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.