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Finding the Fourth Proportional to 53.53, 80.17 and 49.97

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Solution

The fourth proportional to 53.53, 80.17 and 49.97 is: 74.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 80.17 = 49.97 : x
  2. Step 2: Convert to fraction form
    53.53/80.17 = 49.97/x
  3. Step 3: Cross multiply
    53.53x = 80.17 × 49.97
  4. Step 4: Simplify right side
    53.53x = 4,006.17
  5. Step 5: Solve for x
    x = 4,006.17/53.53
  6. Step 6: Final answer
    x = 74.84

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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.