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Finding the Fourth Proportional to 19.46, 26.81 and 15.82

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Solution

The fourth proportional to 19.46, 26.81 and 15.82 is: 21.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.46 : 26.81 = 15.82 : x
  2. Step 2: Convert to fraction form
    19.46/26.81 = 15.82/x
  3. Step 3: Cross multiply
    19.46x = 26.81 × 15.82
  4. Step 4: Simplify right side
    19.46x = 423.99
  5. Step 5: Solve for x
    x = 423.99/19.46
  6. Step 6: Final answer
    x = 21.78

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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.