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Finding the Fourth Proportional to 161.54, 222.96 and 119.66

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Solution

The fourth proportional to 161.54, 222.96 and 119.66 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 222.96 = 119.66 : x
  2. Step 2: Convert to fraction form
    161.54/222.96 = 119.66/x
  3. Step 3: Cross multiply
    161.54x = 222.96 × 119.66
  4. Step 4: Simplify right side
    161.54x = 26,679.39
  5. Step 5: Solve for x
    x = 26,679.39/161.54
  6. Step 6: Final answer
    x = 165.16

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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.