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Finding the Fourth Proportional to 67.86, 92.97 and 67.23

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Solution

The fourth proportional to 67.86, 92.97 and 67.23 is: 92.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 92.97 = 67.23 : x
  2. Step 2: Convert to fraction form
    67.86/92.97 = 67.23/x
  3. Step 3: Cross multiply
    67.86x = 92.97 × 67.23
  4. Step 4: Simplify right side
    67.86x = 6,250.37
  5. Step 5: Solve for x
    x = 6,250.37/67.86
  6. Step 6: Final answer
    x = 92.11

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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.