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Finding the Fourth Proportional to 53.61, 80.49 and 38.42

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Solution

The fourth proportional to 53.61, 80.49 and 38.42 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.61 : 80.49 = 38.42 : x
  2. Step 2: Convert to fraction form
    53.61/80.49 = 38.42/x
  3. Step 3: Cross multiply
    53.61x = 80.49 × 38.42
  4. Step 4: Simplify right side
    53.61x = 3,092.92
  5. Step 5: Solve for x
    x = 3,092.92/53.61
  6. Step 6: Final answer
    x = 57.69

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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.