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Finding the Fourth Proportional to 55.73, 83.16 and 49.97

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Solution

The fourth proportional to 55.73, 83.16 and 49.97 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.73 : 83.16 = 49.97 : x
  2. Step 2: Convert to fraction form
    55.73/83.16 = 49.97/x
  3. Step 3: Cross multiply
    55.73x = 83.16 × 49.97
  4. Step 4: Simplify right side
    55.73x = 4,155.09
  5. Step 5: Solve for x
    x = 4,155.09/55.73
  6. Step 6: Final answer
    x = 74.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.