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Finding the Fourth Proportional to 19.71, 27.19 and 12.42

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Solution

The fourth proportional to 19.71, 27.19 and 12.42 is: 17.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.71 : 27.19 = 12.42 : x
  2. Step 2: Convert to fraction form
    19.71/27.19 = 12.42/x
  3. Step 3: Cross multiply
    19.71x = 27.19 × 12.42
  4. Step 4: Simplify right side
    19.71x = 337.50
  5. Step 5: Solve for x
    x = 337.50/19.71
  6. Step 6: Final answer
    x = 17.13

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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.