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Finding the Fourth Proportional to 92.94, 139.28 and 82.09

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Solution

The fourth proportional to 92.94, 139.28 and 82.09 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.94 : 139.28 = 82.09 : x
  2. Step 2: Convert to fraction form
    92.94/139.28 = 82.09/x
  3. Step 3: Cross multiply
    92.94x = 139.28 × 82.09
  4. Step 4: Simplify right side
    92.94x = 11,433.35
  5. Step 5: Solve for x
    x = 11,433.35/92.94
  6. Step 6: Final answer
    x = 123.02

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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.