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Finding the Fourth Proportional to 49.54, 67.73 and 49.54

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Solution

The fourth proportional to 49.54, 67.73 and 49.54 is: 67.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.54 : 67.73 = 49.54 : x
  2. Step 2: Convert to fraction form
    49.54/67.73 = 49.54/x
  3. Step 3: Cross multiply
    49.54x = 67.73 × 49.54
  4. Step 4: Simplify right side
    49.54x = 3,355.34
  5. Step 5: Solve for x
    x = 3,355.34/49.54
  6. Step 6: Final answer
    x = 67.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.