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Finding the Fourth Proportional to 21.14, 31.70 and 8.30

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Solution

The fourth proportional to 21.14, 31.70 and 8.30 is: 12.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.14 : 31.70 = 8.30 : x
  2. Step 2: Convert to fraction form
    21.14/31.70 = 8.30/x
  3. Step 3: Cross multiply
    21.14x = 31.70 × 8.30
  4. Step 4: Simplify right side
    21.14x = 262.91
  5. Step 5: Solve for x
    x = 262.91/21.14
  6. Step 6: Final answer
    x = 12.44

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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.