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Finding the Fourth Proportional to 161.90, 223.31 and 96.35

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Solution

The fourth proportional to 161.90, 223.31 and 96.35 is: 132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 223.31 = 96.35 : x
  2. Step 2: Convert to fraction form
    161.90/223.31 = 96.35/x
  3. Step 3: Cross multiply
    161.90x = 223.31 × 96.35
  4. Step 4: Simplify right side
    161.90x = 21,515.92
  5. Step 5: Solve for x
    x = 21,515.92/161.90
  6. Step 6: Final answer
    x = 132.90

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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.