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Finding the Fourth Proportional to 10.31, 14.23 and 8.28

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Solution

The fourth proportional to 10.31, 14.23 and 8.28 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 14.23 = 8.28 : x
  2. Step 2: Convert to fraction form
    10.31/14.23 = 8.28/x
  3. Step 3: Cross multiply
    10.31x = 14.23 × 8.28
  4. Step 4: Simplify right side
    10.31x = 117.83
  5. Step 5: Solve for x
    x = 117.83/10.31
  6. Step 6: Final answer
    x = 11.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.