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Finding the Fourth Proportional to 14.41, 19.74 and 14.38

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Solution

The fourth proportional to 14.41, 19.74 and 14.38 is: 19.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.41 : 19.74 = 14.38 : x
  2. Step 2: Convert to fraction form
    14.41/19.74 = 14.38/x
  3. Step 3: Cross multiply
    14.41x = 19.74 × 14.38
  4. Step 4: Simplify right side
    14.41x = 283.89
  5. Step 5: Solve for x
    x = 283.89/14.41
  6. Step 6: Final answer
    x = 19.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.