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Finding the Fourth Proportional to 161.89, 223.41 and 120.63

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Solution

The fourth proportional to 161.89, 223.41 and 120.63 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.89 : 223.41 = 120.63 : x
  2. Step 2: Convert to fraction form
    161.89/223.41 = 120.63/x
  3. Step 3: Cross multiply
    161.89x = 223.41 × 120.63
  4. Step 4: Simplify right side
    161.89x = 26,949.95
  5. Step 5: Solve for x
    x = 26,949.95/161.89
  6. Step 6: Final answer
    x = 166.47

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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.