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Finding the Fourth Proportional to 80.18, 110.64 and 49.13

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Solution

The fourth proportional to 80.18, 110.64 and 49.13 is: 67.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.18 : 110.64 = 49.13 : x
  2. Step 2: Convert to fraction form
    80.18/110.64 = 49.13/x
  3. Step 3: Cross multiply
    80.18x = 110.64 × 49.13
  4. Step 4: Simplify right side
    80.18x = 5,435.19
  5. Step 5: Solve for x
    x = 5,435.19/80.18
  6. Step 6: Final answer
    x = 67.79

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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.