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Finding the Fourth Proportional to 161.47, 241.97 and 100.42

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Solution

The fourth proportional to 161.47, 241.97 and 100.42 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.47 : 241.97 = 100.42 : x
  2. Step 2: Convert to fraction form
    161.47/241.97 = 100.42/x
  3. Step 3: Cross multiply
    161.47x = 241.97 × 100.42
  4. Step 4: Simplify right side
    161.47x = 24,297.52
  5. Step 5: Solve for x
    x = 24,297.52/161.47
  6. Step 6: Final answer
    x = 150.48

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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.