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Finding the Fourth Proportional to 53.82, 74.21 and 37.44

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Solution

The fourth proportional to 53.82, 74.21 and 37.44 is: 51.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.82 : 74.21 = 37.44 : x
  2. Step 2: Convert to fraction form
    53.82/74.21 = 37.44/x
  3. Step 3: Cross multiply
    53.82x = 74.21 × 37.44
  4. Step 4: Simplify right side
    53.82x = 2,778.24
  5. Step 5: Solve for x
    x = 2,778.24/53.82
  6. Step 6: Final answer
    x = 51.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.