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Finding the Fourth Proportional to 14.24, 19.64 and 11.82

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Solution

The fourth proportional to 14.24, 19.64 and 11.82 is: 16.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 19.64 = 11.82 : x
  2. Step 2: Convert to fraction form
    14.24/19.64 = 11.82/x
  3. Step 3: Cross multiply
    14.24x = 19.64 × 11.82
  4. Step 4: Simplify right side
    14.24x = 232.14
  5. Step 5: Solve for x
    x = 232.14/14.24
  6. Step 6: Final answer
    x = 16.30

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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.