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Finding the Fourth Proportional to 161.05, 241.61 and 74.38

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Solution

The fourth proportional to 161.05, 241.61 and 74.38 is: 111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.05 : 241.61 = 74.38 : x
  2. Step 2: Convert to fraction form
    161.05/241.61 = 74.38/x
  3. Step 3: Cross multiply
    161.05x = 241.61 × 74.38
  4. Step 4: Simplify right side
    161.05x = 17,970.95
  5. Step 5: Solve for x
    x = 17,970.95/161.05
  6. Step 6: Final answer
    x = 111.59

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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.