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Finding the Fourth Proportional to 15.78, 21.75 and 11.41

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Solution

The fourth proportional to 15.78, 21.75 and 11.41 is: 15.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 21.75 = 11.41 : x
  2. Step 2: Convert to fraction form
    15.78/21.75 = 11.41/x
  3. Step 3: Cross multiply
    15.78x = 21.75 × 11.41
  4. Step 4: Simplify right side
    15.78x = 248.17
  5. Step 5: Solve for x
    x = 248.17/15.78
  6. Step 6: Final answer
    x = 15.73

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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.