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Finding the Fourth Proportional to 161.63, 222.82 and 106.34

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Solution

The fourth proportional to 161.63, 222.82 and 106.34 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 222.82 = 106.34 : x
  2. Step 2: Convert to fraction form
    161.63/222.82 = 106.34/x
  3. Step 3: Cross multiply
    161.63x = 222.82 × 106.34
  4. Step 4: Simplify right side
    161.63x = 23,694.97
  5. Step 5: Solve for x
    x = 23,694.97/161.63
  6. Step 6: Final answer
    x = 146.60

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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.