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Finding the Fourth Proportional to 15.78, 21.82 and 12.33

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Solution

The fourth proportional to 15.78, 21.82 and 12.33 is: 17.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 21.82 = 12.33 : x
  2. Step 2: Convert to fraction form
    15.78/21.82 = 12.33/x
  3. Step 3: Cross multiply
    15.78x = 21.82 × 12.33
  4. Step 4: Simplify right side
    15.78x = 269.04
  5. Step 5: Solve for x
    x = 269.04/15.78
  6. Step 6: Final answer
    x = 17.05

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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.