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Finding the Fourth Proportional to 92.38, 138.34 and 51.82

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Solution

The fourth proportional to 92.38, 138.34 and 51.82 is: 77.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.38 : 138.34 = 51.82 : x
  2. Step 2: Convert to fraction form
    92.38/138.34 = 51.82/x
  3. Step 3: Cross multiply
    92.38x = 138.34 × 51.82
  4. Step 4: Simplify right side
    92.38x = 7,168.78
  5. Step 5: Solve for x
    x = 7,168.78/92.38
  6. Step 6: Final answer
    x = 77.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.