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Finding the Fourth Proportional to 26.95, 40.56 and 20.56

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Solution

The fourth proportional to 26.95, 40.56 and 20.56 is: 30.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.95 : 40.56 = 20.56 : x
  2. Step 2: Convert to fraction form
    26.95/40.56 = 20.56/x
  3. Step 3: Cross multiply
    26.95x = 40.56 × 20.56
  4. Step 4: Simplify right side
    26.95x = 833.91
  5. Step 5: Solve for x
    x = 833.91/26.95
  6. Step 6: Final answer
    x = 30.94

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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.