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Finding the Fourth Proportional to 80.30, 110.81 and 51.24

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Solution

The fourth proportional to 80.30, 110.81 and 51.24 is: 70.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.30 : 110.81 = 51.24 : x
  2. Step 2: Convert to fraction form
    80.30/110.81 = 51.24/x
  3. Step 3: Cross multiply
    80.30x = 110.81 × 51.24
  4. Step 4: Simplify right side
    80.30x = 5,678.03
  5. Step 5: Solve for x
    x = 5,678.03/80.30
  6. Step 6: Final answer
    x = 70.71

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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.