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Finding the Fourth Proportional to 161.42, 222.92 and 106.22

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Solution

The fourth proportional to 161.42, 222.92 and 106.22 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 222.92 = 106.22 : x
  2. Step 2: Convert to fraction form
    161.42/222.92 = 106.22/x
  3. Step 3: Cross multiply
    161.42x = 222.92 × 106.22
  4. Step 4: Simplify right side
    161.42x = 23,678.56
  5. Step 5: Solve for x
    x = 23,678.56/161.42
  6. Step 6: Final answer
    x = 146.69

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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.