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Finding the Fourth Proportional to 108, 161.19 and 95.67

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Solution

The fourth proportional to 108, 161.19 and 95.67 is: 142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 161.19 = 95.67 : x
  2. Step 2: Convert to fraction form
    108/161.19 = 95.67/x
  3. Step 3: Cross multiply
    108x = 161.19 × 95.67
  4. Step 4: Simplify right side
    108x = 15,421.05
  5. Step 5: Solve for x
    x = 15,421.05/108
  6. Step 6: Final answer
    x = 142.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.