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Finding the Fourth Proportional to 31.71, 43.46 and 31.24

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Solution

The fourth proportional to 31.71, 43.46 and 31.24 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 43.46 = 31.24 : x
  2. Step 2: Convert to fraction form
    31.71/43.46 = 31.24/x
  3. Step 3: Cross multiply
    31.71x = 43.46 × 31.24
  4. Step 4: Simplify right side
    31.71x = 1,357.69
  5. Step 5: Solve for x
    x = 1,357.69/31.71
  6. Step 6: Final answer
    x = 42.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.