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Finding the Fourth Proportional to 27.25, 40.56 and 26.68

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Solution

The fourth proportional to 27.25, 40.56 and 26.68 is: 39.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.25 : 40.56 = 26.68 : x
  2. Step 2: Convert to fraction form
    27.25/40.56 = 26.68/x
  3. Step 3: Cross multiply
    27.25x = 40.56 × 26.68
  4. Step 4: Simplify right side
    27.25x = 1,082.14
  5. Step 5: Solve for x
    x = 1,082.14/27.25
  6. Step 6: Final answer
    x = 39.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.