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Finding the Fourth Proportional to 31.92, 44.03 and 27.84

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Solution

The fourth proportional to 31.92, 44.03 and 27.84 is: 38.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.92 : 44.03 = 27.84 : x
  2. Step 2: Convert to fraction form
    31.92/44.03 = 27.84/x
  3. Step 3: Cross multiply
    31.92x = 44.03 × 27.84
  4. Step 4: Simplify right side
    31.92x = 1,225.66
  5. Step 5: Solve for x
    x = 1,225.66/31.92
  6. Step 6: Final answer
    x = 38.40

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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.