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Finding the Fourth Proportional to 92.11, 138.23 and 36.53

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Solution

The fourth proportional to 92.11, 138.23 and 36.53 is: 54.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 138.23 = 36.53 : x
  2. Step 2: Convert to fraction form
    92.11/138.23 = 36.53/x
  3. Step 3: Cross multiply
    92.11x = 138.23 × 36.53
  4. Step 4: Simplify right side
    92.11x = 5,049.41
  5. Step 5: Solve for x
    x = 5,049.41/92.11
  6. Step 6: Final answer
    x = 54.82

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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.