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Finding the Fourth Proportional to 161.10, 222.34 and 102.88

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Solution

The fourth proportional to 161.10, 222.34 and 102.88 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.10 : 222.34 = 102.88 : x
  2. Step 2: Convert to fraction form
    161.10/222.34 = 102.88/x
  3. Step 3: Cross multiply
    161.10x = 222.34 × 102.88
  4. Step 4: Simplify right side
    161.10x = 22,874.34
  5. Step 5: Solve for x
    x = 22,874.34/161.10
  6. Step 6: Final answer
    x = 141.99

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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.