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Finding the Fourth Proportional to 161, 222.06 and 111.96

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Solution

The fourth proportional to 161, 222.06 and 111.96 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 222.06 = 111.96 : x
  2. Step 2: Convert to fraction form
    161/222.06 = 111.96/x
  3. Step 3: Cross multiply
    161x = 222.06 × 111.96
  4. Step 4: Simplify right side
    161x = 24,861.84
  5. Step 5: Solve for x
    x = 24,861.84/161
  6. Step 6: Final answer
    x = 154.42

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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.