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Finding the Fourth Proportional to 26.67, 39.96 and 20.64

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Solution

The fourth proportional to 26.67, 39.96 and 20.64 is: 30.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.67 : 39.96 = 20.64 : x
  2. Step 2: Convert to fraction form
    26.67/39.96 = 20.64/x
  3. Step 3: Cross multiply
    26.67x = 39.96 × 20.64
  4. Step 4: Simplify right side
    26.67x = 824.77
  5. Step 5: Solve for x
    x = 824.77/26.67
  6. Step 6: Final answer
    x = 30.93

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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.