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Finding the Fourth Proportional to 31.71, 43.53 and 30.54

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Solution

The fourth proportional to 31.71, 43.53 and 30.54 is: 41.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 43.53 = 30.54 : x
  2. Step 2: Convert to fraction form
    31.71/43.53 = 30.54/x
  3. Step 3: Cross multiply
    31.71x = 43.53 × 30.54
  4. Step 4: Simplify right side
    31.71x = 1,329.41
  5. Step 5: Solve for x
    x = 1,329.41/31.71
  6. Step 6: Final answer
    x = 41.92

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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.