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Finding the Fourth Proportional to 31.23, 46.82 and 20.57

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Solution

The fourth proportional to 31.23, 46.82 and 20.57 is: 30.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.23 : 46.82 = 20.57 : x
  2. Step 2: Convert to fraction form
    31.23/46.82 = 20.57/x
  3. Step 3: Cross multiply
    31.23x = 46.82 × 20.57
  4. Step 4: Simplify right side
    31.23x = 962.75
  5. Step 5: Solve for x
    x = 962.75/31.23
  6. Step 6: Final answer
    x = 30.83

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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.