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Finding the Fourth Proportional to 26.53, 39.80 and 20.56

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Solution

The fourth proportional to 26.53, 39.80 and 20.56 is: 30.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 39.80 = 20.56 : x
  2. Step 2: Convert to fraction form
    26.53/39.80 = 20.56/x
  3. Step 3: Cross multiply
    26.53x = 39.80 × 20.56
  4. Step 4: Simplify right side
    26.53x = 818.19
  5. Step 5: Solve for x
    x = 818.19/26.53
  6. Step 6: Final answer
    x = 30.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.