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Finding the Fourth Proportional to 31.06, 42.81 and 24.94

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Solution

The fourth proportional to 31.06, 42.81 and 24.94 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.06 : 42.81 = 24.94 : x
  2. Step 2: Convert to fraction form
    31.06/42.81 = 24.94/x
  3. Step 3: Cross multiply
    31.06x = 42.81 × 24.94
  4. Step 4: Simplify right side
    31.06x = 1,067.68
  5. Step 5: Solve for x
    x = 1,067.68/31.06
  6. Step 6: Final answer
    x = 34.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.