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Finding the Fourth Proportional to 92.34, 138.43 and 53.73

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Solution

The fourth proportional to 92.34, 138.43 and 53.73 is: 80.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.34 : 138.43 = 53.73 : x
  2. Step 2: Convert to fraction form
    92.34/138.43 = 53.73/x
  3. Step 3: Cross multiply
    92.34x = 138.43 × 53.73
  4. Step 4: Simplify right side
    92.34x = 7,437.48
  5. Step 5: Solve for x
    x = 7,437.48/92.34
  6. Step 6: Final answer
    x = 80.54

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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.