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Finding the Fourth Proportional to 25.68, 38.64 and 20.88

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Solution

The fourth proportional to 25.68, 38.64 and 20.88 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.68 : 38.64 = 20.88 : x
  2. Step 2: Convert to fraction form
    25.68/38.64 = 20.88/x
  3. Step 3: Cross multiply
    25.68x = 38.64 × 20.88
  4. Step 4: Simplify right side
    25.68x = 806.80
  5. Step 5: Solve for x
    x = 806.80/25.68
  6. Step 6: Final answer
    x = 31.42

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