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Finding the Fourth Proportional to 19.71, 29.49 and 15.18

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Solution

The fourth proportional to 19.71, 29.49 and 15.18 is: 22.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.71 : 29.49 = 15.18 : x
  2. Step 2: Convert to fraction form
    19.71/29.49 = 15.18/x
  3. Step 3: Cross multiply
    19.71x = 29.49 × 15.18
  4. Step 4: Simplify right side
    19.71x = 447.66
  5. Step 5: Solve for x
    x = 447.66/19.71
  6. Step 6: Final answer
    x = 22.71

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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.