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Finding the Fourth Proportional to 27.84, 38.17 and 27.76

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Solution

The fourth proportional to 27.84, 38.17 and 27.76 is: 38.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 38.17 = 27.76 : x
  2. Step 2: Convert to fraction form
    27.84/38.17 = 27.76/x
  3. Step 3: Cross multiply
    27.84x = 38.17 × 27.76
  4. Step 4: Simplify right side
    27.84x = 1,059.60
  5. Step 5: Solve for x
    x = 1,059.60/27.84
  6. Step 6: Final answer
    x = 38.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.