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Finding the Fourth Proportional to 67.15, 92.67 and 37.65

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Solution

The fourth proportional to 67.15, 92.67 and 37.65 is: 51.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.15 : 92.67 = 37.65 : x
  2. Step 2: Convert to fraction form
    67.15/92.67 = 37.65/x
  3. Step 3: Cross multiply
    67.15x = 92.67 × 37.65
  4. Step 4: Simplify right side
    67.15x = 3,488.66
  5. Step 5: Solve for x
    x = 3,488.66/67.15
  6. Step 6: Final answer
    x = 51.95

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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.