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Finding the Fourth Proportional to 14.27, 19.43 and 14.24

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Solution

The fourth proportional to 14.27, 19.43 and 14.24 is: 19.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.27 : 19.43 = 14.24 : x
  2. Step 2: Convert to fraction form
    14.27/19.43 = 14.24/x
  3. Step 3: Cross multiply
    14.27x = 19.43 × 14.24
  4. Step 4: Simplify right side
    14.27x = 276.68
  5. Step 5: Solve for x
    x = 276.68/14.27
  6. Step 6: Final answer
    x = 19.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.