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Finding the Fourth Proportional to 14.24, 19.64 and 8.41

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Solution

The fourth proportional to 14.24, 19.64 and 8.41 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 19.64 = 8.41 : x
  2. Step 2: Convert to fraction form
    14.24/19.64 = 8.41/x
  3. Step 3: Cross multiply
    14.24x = 19.64 × 8.41
  4. Step 4: Simplify right side
    14.24x = 165.14
  5. Step 5: Solve for x
    x = 165.14/14.24
  6. Step 6: Final answer
    x = 11.60

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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.