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Finding the Fourth Proportional to 31.89, 44.04 and 24.14

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Solution

The fourth proportional to 31.89, 44.04 and 24.14 is: 33.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.89 : 44.04 = 24.14 : x
  2. Step 2: Convert to fraction form
    31.89/44.04 = 24.14/x
  3. Step 3: Cross multiply
    31.89x = 44.04 × 24.14
  4. Step 4: Simplify right side
    31.89x = 1,062.91
  5. Step 5: Solve for x
    x = 1,062.91/31.89
  6. Step 6: Final answer
    x = 33.33

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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.