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Finding the Fourth Proportional to 161.04, 222.19 and 102.81

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Solution

The fourth proportional to 161.04, 222.19 and 102.81 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.04 : 222.19 = 102.81 : x
  2. Step 2: Convert to fraction form
    161.04/222.19 = 102.81/x
  3. Step 3: Cross multiply
    161.04x = 222.19 × 102.81
  4. Step 4: Simplify right side
    161.04x = 22,843.35
  5. Step 5: Solve for x
    x = 22,843.35/161.04
  6. Step 6: Final answer
    x = 141.85

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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.