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Finding the Fourth Proportional to 161.85, 223.29 and 96.31

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Solution

The fourth proportional to 161.85, 223.29 and 96.31 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.85 : 223.29 = 96.31 : x
  2. Step 2: Convert to fraction form
    161.85/223.29 = 96.31/x
  3. Step 3: Cross multiply
    161.85x = 223.29 × 96.31
  4. Step 4: Simplify right side
    161.85x = 21,505.06
  5. Step 5: Solve for x
    x = 21,505.06/161.85
  6. Step 6: Final answer
    x = 132.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.