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Finding the Fourth Proportional to 108.12, 161.16 and 107.76

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Solution

The fourth proportional to 108.12, 161.16 and 107.76 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.12 : 161.16 = 107.76 : x
  2. Step 2: Convert to fraction form
    108.12/161.16 = 107.76/x
  3. Step 3: Cross multiply
    108.12x = 161.16 × 107.76
  4. Step 4: Simplify right side
    108.12x = 17,366.60
  5. Step 5: Solve for x
    x = 17,366.60/108.12
  6. Step 6: Final answer
    x = 160.62

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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.