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Finding the Fourth Proportional to 161.22, 222.37 and 102.22

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Solution

The fourth proportional to 161.22, 222.37 and 102.22 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 222.37 = 102.22 : x
  2. Step 2: Convert to fraction form
    161.22/222.37 = 102.22/x
  3. Step 3: Cross multiply
    161.22x = 222.37 × 102.22
  4. Step 4: Simplify right side
    161.22x = 22,730.66
  5. Step 5: Solve for x
    x = 22,730.66/161.22
  6. Step 6: Final answer
    x = 140.99

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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.