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Finding the Fourth Proportional to 23.96, 33.08 and 20.64

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Solution

The fourth proportional to 23.96, 33.08 and 20.64 is: 28.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.96 : 33.08 = 20.64 : x
  2. Step 2: Convert to fraction form
    23.96/33.08 = 20.64/x
  3. Step 3: Cross multiply
    23.96x = 33.08 × 20.64
  4. Step 4: Simplify right side
    23.96x = 682.77
  5. Step 5: Solve for x
    x = 682.77/23.96
  6. Step 6: Final answer
    x = 28.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.