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Finding the Fourth Proportional to 28.74, 42.89 and 28.00

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Solution

The fourth proportional to 28.74, 42.89 and 28.00 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.74 : 42.89 = 28.00 : x
  2. Step 2: Convert to fraction form
    28.74/42.89 = 28.00/x
  3. Step 3: Cross multiply
    28.74x = 42.89 × 28.00
  4. Step 4: Simplify right side
    28.74x = 1,200.88
  5. Step 5: Solve for x
    x = 1,200.88/28.74
  6. Step 6: Final answer
    x = 41.78

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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.