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Finding the Fourth Proportional to 41.20, 62.04 and 37.84

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Solution

The fourth proportional to 41.20, 62.04 and 37.84 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.20 : 62.04 = 37.84 : x
  2. Step 2: Convert to fraction form
    41.20/62.04 = 37.84/x
  3. Step 3: Cross multiply
    41.20x = 62.04 × 37.84
  4. Step 4: Simplify right side
    41.20x = 2,347.59
  5. Step 5: Solve for x
    x = 2,347.59/41.20
  6. Step 6: Final answer
    x = 56.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.