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Finding the Fourth Proportional to 161.26, 241.90 and 103.84

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Solution

The fourth proportional to 161.26, 241.90 and 103.84 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 241.90 = 103.84 : x
  2. Step 2: Convert to fraction form
    161.26/241.90 = 103.84/x
  3. Step 3: Cross multiply
    161.26x = 241.90 × 103.84
  4. Step 4: Simplify right side
    161.26x = 25,118.03
  5. Step 5: Solve for x
    x = 25,118.03/161.26
  6. Step 6: Final answer
    x = 155.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.