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Finding the Fourth Proportional to 161.82, 223.23 and 103.62

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Solution

The fourth proportional to 161.82, 223.23 and 103.62 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 223.23 = 103.62 : x
  2. Step 2: Convert to fraction form
    161.82/223.23 = 103.62/x
  3. Step 3: Cross multiply
    161.82x = 223.23 × 103.62
  4. Step 4: Simplify right side
    161.82x = 23,131.09
  5. Step 5: Solve for x
    x = 23,131.09/161.82
  6. Step 6: Final answer
    x = 142.94

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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.