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Finding the Fourth Proportional to 19.72, 29.50 and 14.31

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Solution

The fourth proportional to 19.72, 29.50 and 14.31 is: 21.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.72 : 29.50 = 14.31 : x
  2. Step 2: Convert to fraction form
    19.72/29.50 = 14.31/x
  3. Step 3: Cross multiply
    19.72x = 29.50 × 14.31
  4. Step 4: Simplify right side
    19.72x = 422.03
  5. Step 5: Solve for x
    x = 422.03/19.72
  6. Step 6: Final answer
    x = 21.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.