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Finding the Fourth Proportional to 161.96, 243.27 and 97.09

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Solution

The fourth proportional to 161.96, 243.27 and 97.09 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 243.27 = 97.09 : x
  2. Step 2: Convert to fraction form
    161.96/243.27 = 97.09/x
  3. Step 3: Cross multiply
    161.96x = 243.27 × 97.09
  4. Step 4: Simplify right side
    161.96x = 23,619.08
  5. Step 5: Solve for x
    x = 23,619.08/161.96
  6. Step 6: Final answer
    x = 145.83

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Why These Related Problems?

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