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Finding the Fourth Proportional to 31.74, 47.86 and 28.81

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Solution

The fourth proportional to 31.74, 47.86 and 28.81 is: 43.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 47.86 = 28.81 : x
  2. Step 2: Convert to fraction form
    31.74/47.86 = 28.81/x
  3. Step 3: Cross multiply
    31.74x = 47.86 × 28.81
  4. Step 4: Simplify right side
    31.74x = 1,378.85
  5. Step 5: Solve for x
    x = 1,378.85/31.74
  6. Step 6: Final answer
    x = 43.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.