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Finding the Fourth Proportional to 161.98, 223.54 and 96.49

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Solution

The fourth proportional to 161.98, 223.54 and 96.49 is: 133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 223.54 = 96.49 : x
  2. Step 2: Convert to fraction form
    161.98/223.54 = 96.49/x
  3. Step 3: Cross multiply
    161.98x = 223.54 × 96.49
  4. Step 4: Simplify right side
    161.98x = 21,568.89
  5. Step 5: Solve for x
    x = 21,568.89/161.98
  6. Step 6: Final answer
    x = 133.16

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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.