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Finding the Fourth Proportional to 16.84, 23.22 and 13.78

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Solution

The fourth proportional to 16.84, 23.22 and 13.78 is: 19.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.84 : 23.22 = 13.78 : x
  2. Step 2: Convert to fraction form
    16.84/23.22 = 13.78/x
  3. Step 3: Cross multiply
    16.84x = 23.22 × 13.78
  4. Step 4: Simplify right side
    16.84x = 319.97
  5. Step 5: Solve for x
    x = 319.97/16.84
  6. Step 6: Final answer
    x = 19.00

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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.