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Finding the Fourth Proportional to 161.71, 223.19 and 96.23

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Solution

The fourth proportional to 161.71, 223.19 and 96.23 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.71 : 223.19 = 96.23 : x
  2. Step 2: Convert to fraction form
    161.71/223.19 = 96.23/x
  3. Step 3: Cross multiply
    161.71x = 223.19 × 96.23
  4. Step 4: Simplify right side
    161.71x = 21,478.37
  5. Step 5: Solve for x
    x = 21,478.37/161.71
  6. Step 6: Final answer
    x = 132.82

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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.