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Finding the Fourth Proportional to 31.54, 47.31 and 20.90

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Solution

The fourth proportional to 31.54, 47.31 and 20.90 is: 31.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.54 : 47.31 = 20.90 : x
  2. Step 2: Convert to fraction form
    31.54/47.31 = 20.90/x
  3. Step 3: Cross multiply
    31.54x = 47.31 × 20.90
  4. Step 4: Simplify right side
    31.54x = 988.78
  5. Step 5: Solve for x
    x = 988.78/31.54
  6. Step 6: Final answer
    x = 31.35

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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.