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Finding the Fourth Proportional to 161.11, 222.28 and 105.85

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Solution

The fourth proportional to 161.11, 222.28 and 105.85 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.11 : 222.28 = 105.85 : x
  2. Step 2: Convert to fraction form
    161.11/222.28 = 105.85/x
  3. Step 3: Cross multiply
    161.11x = 222.28 × 105.85
  4. Step 4: Simplify right side
    161.11x = 23,528.34
  5. Step 5: Solve for x
    x = 23,528.34/161.11
  6. Step 6: Final answer
    x = 146.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.