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Finding the Fourth Proportional to 81.44, 121.46 and 76.31

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Solution

The fourth proportional to 81.44, 121.46 and 76.31 is: 113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.44 : 121.46 = 76.31 : x
  2. Step 2: Convert to fraction form
    81.44/121.46 = 76.31/x
  3. Step 3: Cross multiply
    81.44x = 121.46 × 76.31
  4. Step 4: Simplify right side
    81.44x = 9,268.01
  5. Step 5: Solve for x
    x = 9,268.01/81.44
  6. Step 6: Final answer
    x = 113.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.