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Finding the Fourth Proportional to 19.84, 27.34 and 13.70

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Solution

The fourth proportional to 19.84, 27.34 and 13.70 is: 18.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.84 : 27.34 = 13.70 : x
  2. Step 2: Convert to fraction form
    19.84/27.34 = 13.70/x
  3. Step 3: Cross multiply
    19.84x = 27.34 × 13.70
  4. Step 4: Simplify right side
    19.84x = 374.56
  5. Step 5: Solve for x
    x = 374.56/19.84
  6. Step 6: Final answer
    x = 18.88

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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.