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Finding the Fourth Proportional to 92.78, 138.83 and 83.79

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Solution

The fourth proportional to 92.78, 138.83 and 83.79 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 138.83 = 83.79 : x
  2. Step 2: Convert to fraction form
    92.78/138.83 = 83.79/x
  3. Step 3: Cross multiply
    92.78x = 138.83 × 83.79
  4. Step 4: Simplify right side
    92.78x = 11,632.15
  5. Step 5: Solve for x
    x = 11,632.15/92.78
  6. Step 6: Final answer
    x = 125.38

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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.