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Finding the Fourth Proportional to 14.31, 19.72 and 13.59

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Solution

The fourth proportional to 14.31, 19.72 and 13.59 is: 18.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 19.72 = 13.59 : x
  2. Step 2: Convert to fraction form
    14.31/19.72 = 13.59/x
  3. Step 3: Cross multiply
    14.31x = 19.72 × 13.59
  4. Step 4: Simplify right side
    14.31x = 267.99
  5. Step 5: Solve for x
    x = 267.99/14.31
  6. Step 6: Final answer
    x = 18.73

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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.