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Finding the Fourth Proportional to 15.24, 22.82 and 9.24

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Solution

The fourth proportional to 15.24, 22.82 and 9.24 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.24 : 22.82 = 9.24 : x
  2. Step 2: Convert to fraction form
    15.24/22.82 = 9.24/x
  3. Step 3: Cross multiply
    15.24x = 22.82 × 9.24
  4. Step 4: Simplify right side
    15.24x = 210.73
  5. Step 5: Solve for x
    x = 210.73/15.24
  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.