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Finding the Fourth Proportional to 31.83, 47.75 and 21.71

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Solution

The fourth proportional to 31.83, 47.75 and 21.71 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.83 : 47.75 = 21.71 : x
  2. Step 2: Convert to fraction form
    31.83/47.75 = 21.71/x
  3. Step 3: Cross multiply
    31.83x = 47.75 × 21.71
  4. Step 4: Simplify right side
    31.83x = 1,036.31
  5. Step 5: Solve for x
    x = 1,036.31/31.83
  6. Step 6: Final answer
    x = 32.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.