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Finding the Fourth Proportional to 14.02, 19.29 and 12.73

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Solution

The fourth proportional to 14.02, 19.29 and 12.73 is: 17.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.02 : 19.29 = 12.73 : x
  2. Step 2: Convert to fraction form
    14.02/19.29 = 12.73/x
  3. Step 3: Cross multiply
    14.02x = 19.29 × 12.73
  4. Step 4: Simplify right side
    14.02x = 245.56
  5. Step 5: Solve for x
    x = 245.56/14.02
  6. Step 6: Final answer
    x = 17.51

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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.