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Finding the Fourth Proportional to 108.17, 161.88 and 69.68

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Solution

The fourth proportional to 108.17, 161.88 and 69.68 is: 104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.17 : 161.88 = 69.68 : x
  2. Step 2: Convert to fraction form
    108.17/161.88 = 69.68/x
  3. Step 3: Cross multiply
    108.17x = 161.88 × 69.68
  4. Step 4: Simplify right side
    108.17x = 11,278.99
  5. Step 5: Solve for x
    x = 11,278.99/108.17
  6. Step 6: Final answer
    x = 104.28

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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.