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Finding the Fourth Proportional to 13.24, 19.85 and 10.98

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Solution

The fourth proportional to 13.24, 19.85 and 10.98 is: 16.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 19.85 = 10.98 : x
  2. Step 2: Convert to fraction form
    13.24/19.85 = 10.98/x
  3. Step 3: Cross multiply
    13.24x = 19.85 × 10.98
  4. Step 4: Simplify right side
    13.24x = 217.90
  5. Step 5: Solve for x
    x = 217.90/13.24
  6. Step 6: Final answer
    x = 16.46

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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.