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Finding the Fourth Proportional to 92.06, 137.92 and 77.62

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Solution

The fourth proportional to 92.06, 137.92 and 77.62 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.06 : 137.92 = 77.62 : x
  2. Step 2: Convert to fraction form
    92.06/137.92 = 77.62/x
  3. Step 3: Cross multiply
    92.06x = 137.92 × 77.62
  4. Step 4: Simplify right side
    92.06x = 10,705.35
  5. Step 5: Solve for x
    x = 10,705.35/92.06
  6. Step 6: Final answer
    x = 116.29

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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.