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Finding the Fourth Proportional to 31.99, 44.17 and 23.78

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Solution

The fourth proportional to 31.99, 44.17 and 23.78 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.99 : 44.17 = 23.78 : x
  2. Step 2: Convert to fraction form
    31.99/44.17 = 23.78/x
  3. Step 3: Cross multiply
    31.99x = 44.17 × 23.78
  4. Step 4: Simplify right side
    31.99x = 1,050.54
  5. Step 5: Solve for x
    x = 1,050.54/31.99
  6. Step 6: Final answer
    x = 32.84

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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.