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Finding the Fourth Proportional to 28.68, 42.86 and 22.56

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Solution

The fourth proportional to 28.68, 42.86 and 22.56 is: 33.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.68 : 42.86 = 22.56 : x
  2. Step 2: Convert to fraction form
    28.68/42.86 = 22.56/x
  3. Step 3: Cross multiply
    28.68x = 42.86 × 22.56
  4. Step 4: Simplify right side
    28.68x = 966.92
  5. Step 5: Solve for x
    x = 966.92/28.68
  6. Step 6: Final answer
    x = 33.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.