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Finding the Fourth Proportional to 10.14, 15.19 and 8.23

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Solution

The fourth proportional to 10.14, 15.19 and 8.23 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 15.19 = 8.23 : x
  2. Step 2: Convert to fraction form
    10.14/15.19 = 8.23/x
  3. Step 3: Cross multiply
    10.14x = 15.19 × 8.23
  4. Step 4: Simplify right side
    10.14x = 124.97
  5. Step 5: Solve for x
    x = 124.97/10.14
  6. Step 6: Final answer
    x = 12.32

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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.