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Finding the Fourth Proportional to 41.54, 62.06 and 33.80

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Solution

The fourth proportional to 41.54, 62.06 and 33.80 is: 50.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.54 : 62.06 = 33.80 : x
  2. Step 2: Convert to fraction form
    41.54/62.06 = 33.80/x
  3. Step 3: Cross multiply
    41.54x = 62.06 × 33.80
  4. Step 4: Simplify right side
    41.54x = 2,097.63
  5. Step 5: Solve for x
    x = 2,097.63/41.54
  6. Step 6: Final answer
    x = 50.50

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Why These Related Problems?

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