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Finding the Fourth Proportional to 27.42, 40.96 and 20.64

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Solution

The fourth proportional to 27.42, 40.96 and 20.64 is: 30.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 40.96 = 20.64 : x
  2. Step 2: Convert to fraction form
    27.42/40.96 = 20.64/x
  3. Step 3: Cross multiply
    27.42x = 40.96 × 20.64
  4. Step 4: Simplify right side
    27.42x = 845.41
  5. Step 5: Solve for x
    x = 845.41/27.42
  6. Step 6: Final answer
    x = 30.83

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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.