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Finding the Fourth Proportional to 45.20, 67.80 and 34.52

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Solution

The fourth proportional to 45.20, 67.80 and 34.52 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.20 : 67.80 = 34.52 : x
  2. Step 2: Convert to fraction form
    45.20/67.80 = 34.52/x
  3. Step 3: Cross multiply
    45.20x = 67.80 × 34.52
  4. Step 4: Simplify right side
    45.20x = 2,340.46
  5. Step 5: Solve for x
    x = 2,340.46/45.20
  6. Step 6: Final answer
    x = 51.78

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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.