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Finding the Fourth Proportional to 67.34, 92.92 and 37.83

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Solution

The fourth proportional to 67.34, 92.92 and 37.83 is: 52.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.34 : 92.92 = 37.83 : x
  2. Step 2: Convert to fraction form
    67.34/92.92 = 37.83/x
  3. Step 3: Cross multiply
    67.34x = 92.92 × 37.83
  4. Step 4: Simplify right side
    67.34x = 3,514.76
  5. Step 5: Solve for x
    x = 3,514.76/67.34
  6. Step 6: Final answer
    x = 52.20

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