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Finding the Fourth Proportional to 53.98, 80.96 and 19.73

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Solution

The fourth proportional to 53.98, 80.96 and 19.73 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 80.96 = 19.73 : x
  2. Step 2: Convert to fraction form
    53.98/80.96 = 19.73/x
  3. Step 3: Cross multiply
    53.98x = 80.96 × 19.73
  4. Step 4: Simplify right side
    53.98x = 1,597.44
  5. Step 5: Solve for x
    x = 1,597.44/53.98
  6. Step 6: Final answer
    x = 29.59

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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.