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Finding the Fourth Proportional to 161.79, 223.26 and 91.83

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Solution

The fourth proportional to 161.79, 223.26 and 91.83 is: 126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.79 : 223.26 = 91.83 : x
  2. Step 2: Convert to fraction form
    161.79/223.26 = 91.83/x
  3. Step 3: Cross multiply
    161.79x = 223.26 × 91.83
  4. Step 4: Simplify right side
    161.79x = 20,501.97
  5. Step 5: Solve for x
    x = 20,501.97/161.79
  6. Step 6: Final answer
    x = 126.72

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Why These Related Problems?

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