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Finding the Fourth Proportional to 161.76, 223.05 and 120.18

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Solution

The fourth proportional to 161.76, 223.05 and 120.18 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 223.05 = 120.18 : x
  2. Step 2: Convert to fraction form
    161.76/223.05 = 120.18/x
  3. Step 3: Cross multiply
    161.76x = 223.05 × 120.18
  4. Step 4: Simplify right side
    161.76x = 26,806.15
  5. Step 5: Solve for x
    x = 26,806.15/161.76
  6. Step 6: Final answer
    x = 165.72

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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.