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Finding the Fourth Proportional to 92.96, 139.78 and 81.02

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Solution

The fourth proportional to 92.96, 139.78 and 81.02 is: 121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 139.78 = 81.02 : x
  2. Step 2: Convert to fraction form
    92.96/139.78 = 81.02/x
  3. Step 3: Cross multiply
    92.96x = 139.78 × 81.02
  4. Step 4: Simplify right side
    92.96x = 11,324.18
  5. Step 5: Solve for x
    x = 11,324.18/92.96
  6. Step 6: Final answer
    x = 121.81

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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.