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Finding the Fourth Proportional to 161.23, 222.41 and 102.11

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Solution

The fourth proportional to 161.23, 222.41 and 102.11 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.23 : 222.41 = 102.11 : x
  2. Step 2: Convert to fraction form
    161.23/222.41 = 102.11/x
  3. Step 3: Cross multiply
    161.23x = 222.41 × 102.11
  4. Step 4: Simplify right side
    161.23x = 22,710.29
  5. Step 5: Solve for x
    x = 22,710.29/161.23
  6. Step 6: Final answer
    x = 140.86

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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.