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Finding the Fourth Proportional to 45.25, 67.84 and 28.15

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Solution

The fourth proportional to 45.25, 67.84 and 28.15 is: 42.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 67.84 = 28.15 : x
  2. Step 2: Convert to fraction form
    45.25/67.84 = 28.15/x
  3. Step 3: Cross multiply
    45.25x = 67.84 × 28.15
  4. Step 4: Simplify right side
    45.25x = 1,909.70
  5. Step 5: Solve for x
    x = 1,909.70/45.25
  6. Step 6: Final answer
    x = 42.20

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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.