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Finding the Fourth Proportional to 161.50, 222.87 and 103.29

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Solution

The fourth proportional to 161.50, 222.87 and 103.29 is: 142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.50 : 222.87 = 103.29 : x
  2. Step 2: Convert to fraction form
    161.50/222.87 = 103.29/x
  3. Step 3: Cross multiply
    161.50x = 222.87 × 103.29
  4. Step 4: Simplify right side
    161.50x = 23,020.24
  5. Step 5: Solve for x
    x = 23,020.24/161.50
  6. Step 6: Final answer
    x = 142.54

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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.