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Finding the Fourth Proportional to 161.27, 241.95 and 96.26

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Solution

The fourth proportional to 161.27, 241.95 and 96.26 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.27 : 241.95 = 96.26 : x
  2. Step 2: Convert to fraction form
    161.27/241.95 = 96.26/x
  3. Step 3: Cross multiply
    161.27x = 241.95 × 96.26
  4. Step 4: Simplify right side
    161.27x = 23,288.90
  5. Step 5: Solve for x
    x = 23,288.90/161.27
  6. Step 6: Final answer
    x = 144.41

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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.