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Finding the Fourth Proportional to 92.33, 138.45 and 34.55

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Solution

The fourth proportional to 92.33, 138.45 and 34.55 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.33 : 138.45 = 34.55 : x
  2. Step 2: Convert to fraction form
    92.33/138.45 = 34.55/x
  3. Step 3: Cross multiply
    92.33x = 138.45 × 34.55
  4. Step 4: Simplify right side
    92.33x = 4,783.45
  5. Step 5: Solve for x
    x = 4,783.45/92.33
  6. Step 6: Final answer
    x = 51.81

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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.