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Finding the Fourth Proportional to 15.84, 21.82 and 12.18

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Solution

The fourth proportional to 15.84, 21.82 and 12.18 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 21.82 = 12.18 : x
  2. Step 2: Convert to fraction form
    15.84/21.82 = 12.18/x
  3. Step 3: Cross multiply
    15.84x = 21.82 × 12.18
  4. Step 4: Simplify right side
    15.84x = 265.77
  5. Step 5: Solve for x
    x = 265.77/15.84
  6. Step 6: Final answer
    x = 16.78

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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.