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Finding the Fourth Proportional to 67.23, 92.77 and 38.12

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Solution

The fourth proportional to 67.23, 92.77 and 38.12 is: 52.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.23 : 92.77 = 38.12 : x
  2. Step 2: Convert to fraction form
    67.23/92.77 = 38.12/x
  3. Step 3: Cross multiply
    67.23x = 92.77 × 38.12
  4. Step 4: Simplify right side
    67.23x = 3,536.39
  5. Step 5: Solve for x
    x = 3,536.39/67.23
  6. Step 6: Final answer
    x = 52.61

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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.