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Finding the Fourth Proportional to 49.73, 67.73 and 49.58

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Solution

The fourth proportional to 49.73, 67.73 and 49.58 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.73 : 67.73 = 49.58 : x
  2. Step 2: Convert to fraction form
    49.73/67.73 = 49.58/x
  3. Step 3: Cross multiply
    49.73x = 67.73 × 49.58
  4. Step 4: Simplify right side
    49.73x = 3,358.05
  5. Step 5: Solve for x
    x = 3,358.05/49.73
  6. Step 6: Final answer
    x = 67.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.