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Finding the Fourth Proportional to 161.79, 223.34 and 103.56

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Solution

The fourth proportional to 161.79, 223.34 and 103.56 is: 142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.79 : 223.34 = 103.56 : x
  2. Step 2: Convert to fraction form
    161.79/223.34 = 103.56/x
  3. Step 3: Cross multiply
    161.79x = 223.34 × 103.56
  4. Step 4: Simplify right side
    161.79x = 23,129.09
  5. Step 5: Solve for x
    x = 23,129.09/161.79
  6. Step 6: Final answer
    x = 142.96

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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.