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Finding the Fourth Proportional to 161.33, 241.41 and 109.86

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Solution

The fourth proportional to 161.33, 241.41 and 109.86 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.33 : 241.41 = 109.86 : x
  2. Step 2: Convert to fraction form
    161.33/241.41 = 109.86/x
  3. Step 3: Cross multiply
    161.33x = 241.41 × 109.86
  4. Step 4: Simplify right side
    161.33x = 26,520.81
  5. Step 5: Solve for x
    x = 26,520.81/161.33
  6. Step 6: Final answer
    x = 164.39

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