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Finding the Fourth Proportional to 27.25, 37.61 and 17.56

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Solution

The fourth proportional to 27.25, 37.61 and 17.56 is: 24.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.25 : 37.61 = 17.56 : x
  2. Step 2: Convert to fraction form
    27.25/37.61 = 17.56/x
  3. Step 3: Cross multiply
    27.25x = 37.61 × 17.56
  4. Step 4: Simplify right side
    27.25x = 660.34
  5. Step 5: Solve for x
    x = 660.34/27.25
  6. Step 6: Final answer
    x = 24.23

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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.