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Finding the Fourth Proportional to 10.14, 15.24 and 8.24

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Solution

The fourth proportional to 10.14, 15.24 and 8.24 is: 12.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 15.24 = 8.24 : x
  2. Step 2: Convert to fraction form
    10.14/15.24 = 8.24/x
  3. Step 3: Cross multiply
    10.14x = 15.24 × 8.24
  4. Step 4: Simplify right side
    10.14x = 125.58
  5. Step 5: Solve for x
    x = 125.58/10.14
  6. Step 6: Final answer
    x = 12.38

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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.