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Finding the Fourth Proportional to 81.24, 111.30 and 81

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Solution

The fourth proportional to 81.24, 111.30 and 81 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.24 : 111.30 = 81 : x
  2. Step 2: Convert to fraction form
    81.24/111.30 = 81/x
  3. Step 3: Cross multiply
    81.24x = 111.30 × 81
  4. Step 4: Simplify right side
    81.24x = 9,015.30
  5. Step 5: Solve for x
    x = 9,015.30/81.24
  6. Step 6: Final answer
    x = 110.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.