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Finding the Fourth Proportional to 92.09, 138.08 and 77.73

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Solution

The fourth proportional to 92.09, 138.08 and 77.73 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 138.08 = 77.73 : x
  2. Step 2: Convert to fraction form
    92.09/138.08 = 77.73/x
  3. Step 3: Cross multiply
    92.09x = 138.08 × 77.73
  4. Step 4: Simplify right side
    92.09x = 10,732.57
  5. Step 5: Solve for x
    x = 10,732.57/92.09
  6. Step 6: Final answer
    x = 116.55

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Why These Related Problems?

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