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Finding the Fourth Proportional to 28.50, 42.73 and 27.84

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Solution

The fourth proportional to 28.50, 42.73 and 27.84 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.50 : 42.73 = 27.84 : x
  2. Step 2: Convert to fraction form
    28.50/42.73 = 27.84/x
  3. Step 3: Cross multiply
    28.50x = 42.73 × 27.84
  4. Step 4: Simplify right side
    28.50x = 1,189.69
  5. Step 5: Solve for x
    x = 1,189.69/28.50
  6. Step 6: Final answer
    x = 41.74

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Why These Related Problems?

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