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Finding the Fourth Proportional to 27.69, 38.13 and 24.58

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Solution

The fourth proportional to 27.69, 38.13 and 24.58 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 38.13 = 24.58 : x
  2. Step 2: Convert to fraction form
    27.69/38.13 = 24.58/x
  3. Step 3: Cross multiply
    27.69x = 38.13 × 24.58
  4. Step 4: Simplify right side
    27.69x = 937.24
  5. Step 5: Solve for x
    x = 937.24/27.69
  6. Step 6: Final answer
    x = 33.85

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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.