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Finding the Fourth Proportional to 27.26, 37.61 and 16.34

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Solution

The fourth proportional to 27.26, 37.61 and 16.34 is: 22.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.26 : 37.61 = 16.34 : x
  2. Step 2: Convert to fraction form
    27.26/37.61 = 16.34/x
  3. Step 3: Cross multiply
    27.26x = 37.61 × 16.34
  4. Step 4: Simplify right side
    27.26x = 614.55
  5. Step 5: Solve for x
    x = 614.55/27.26
  6. Step 6: Final answer
    x = 22.54

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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.