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Finding the Fourth Proportional to 161.09, 222.28 and 105.83

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Solution

The fourth proportional to 161.09, 222.28 and 105.83 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 222.28 = 105.83 : x
  2. Step 2: Convert to fraction form
    161.09/222.28 = 105.83/x
  3. Step 3: Cross multiply
    161.09x = 222.28 × 105.83
  4. Step 4: Simplify right side
    161.09x = 23,523.89
  5. Step 5: Solve for x
    x = 23,523.89/161.09
  6. Step 6: Final answer
    x = 146.03

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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.