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Finding the Fourth Proportional to 14.42, 19.96 and 14.24

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Solution

The fourth proportional to 14.42, 19.96 and 14.24 is: 19.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.42 : 19.96 = 14.24 : x
  2. Step 2: Convert to fraction form
    14.42/19.96 = 14.24/x
  3. Step 3: Cross multiply
    14.42x = 19.96 × 14.24
  4. Step 4: Simplify right side
    14.42x = 284.23
  5. Step 5: Solve for x
    x = 284.23/14.42
  6. Step 6: Final answer
    x = 19.71

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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.