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Finding the Fourth Proportional to 14.24, 19.65 and 11.13

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Solution

The fourth proportional to 14.24, 19.65 and 11.13 is: 15.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 19.65 = 11.13 : x
  2. Step 2: Convert to fraction form
    14.24/19.65 = 11.13/x
  3. Step 3: Cross multiply
    14.24x = 19.65 × 11.13
  4. Step 4: Simplify right side
    14.24x = 218.78
  5. Step 5: Solve for x
    x = 218.78/14.24
  6. Step 6: Final answer
    x = 15.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.