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Finding the Fourth Proportional to 34.17, 47.11 and 27.25

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Solution

The fourth proportional to 34.17, 47.11 and 27.25 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 47.11 = 27.25 : x
  2. Step 2: Convert to fraction form
    34.17/47.11 = 27.25/x
  3. Step 3: Cross multiply
    34.17x = 47.11 × 27.25
  4. Step 4: Simplify right side
    34.17x = 1,283.75
  5. Step 5: Solve for x
    x = 1,283.75/34.17
  6. Step 6: Final answer
    x = 37.57

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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.