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Finding the Fourth Proportional to 27.26, 41.10 and 25.77

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Solution

The fourth proportional to 27.26, 41.10 and 25.77 is: 38.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.26 : 41.10 = 25.77 : x
  2. Step 2: Convert to fraction form
    27.26/41.10 = 25.77/x
  3. Step 3: Cross multiply
    27.26x = 41.10 × 25.77
  4. Step 4: Simplify right side
    27.26x = 1,059.15
  5. Step 5: Solve for x
    x = 1,059.15/27.26
  6. Step 6: Final answer
    x = 38.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.