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Finding the Fourth Proportional to 161.09, 241.70 and 84.14

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Solution

The fourth proportional to 161.09, 241.70 and 84.14 is: 126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 241.70 = 84.14 : x
  2. Step 2: Convert to fraction form
    161.09/241.70 = 84.14/x
  3. Step 3: Cross multiply
    161.09x = 241.70 × 84.14
  4. Step 4: Simplify right side
    161.09x = 20,335.01
  5. Step 5: Solve for x
    x = 20,335.01/161.09
  6. Step 6: Final answer
    x = 126.24

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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.