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Finding the Fourth Proportional to 67.06, 92.49 and 49.78

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Solution

The fourth proportional to 67.06, 92.49 and 49.78 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.06 : 92.49 = 49.78 : x
  2. Step 2: Convert to fraction form
    67.06/92.49 = 49.78/x
  3. Step 3: Cross multiply
    67.06x = 92.49 × 49.78
  4. Step 4: Simplify right side
    67.06x = 4,604.15
  5. Step 5: Solve for x
    x = 4,604.15/67.06
  6. Step 6: Final answer
    x = 68.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.