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Finding the Fourth Proportional to 8.28, 12.40 and 8.17

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Solution

The fourth proportional to 8.28, 12.40 and 8.17 is: 12.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.28 : 12.40 = 8.17 : x
  2. Step 2: Convert to fraction form
    8.28/12.40 = 8.17/x
  3. Step 3: Cross multiply
    8.28x = 12.40 × 8.17
  4. Step 4: Simplify right side
    8.28x = 101.31
  5. Step 5: Solve for x
    x = 101.31/8.28
  6. Step 6: Final answer
    x = 12.24

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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.