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Finding the Fourth Proportional to 10.69, 15.99 and 9.24

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Solution

The fourth proportional to 10.69, 15.99 and 9.24 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 15.99 = 9.24 : x
  2. Step 2: Convert to fraction form
    10.69/15.99 = 9.24/x
  3. Step 3: Cross multiply
    10.69x = 15.99 × 9.24
  4. Step 4: Simplify right side
    10.69x = 147.75
  5. Step 5: Solve for x
    x = 147.75/10.69
  6. Step 6: Final answer
    x = 13.82

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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.