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Finding the Fourth Proportional to 161.44, 222.85 and 106.14

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Solution

The fourth proportional to 161.44, 222.85 and 106.14 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 222.85 = 106.14 : x
  2. Step 2: Convert to fraction form
    161.44/222.85 = 106.14/x
  3. Step 3: Cross multiply
    161.44x = 222.85 × 106.14
  4. Step 4: Simplify right side
    161.44x = 23,654.27
  5. Step 5: Solve for x
    x = 23,654.27/161.44
  6. Step 6: Final answer
    x = 146.52

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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.