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Finding the Fourth Proportional to 102.96, 154 and 92.20

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Solution

The fourth proportional to 102.96, 154 and 92.20 is: 137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 154 = 92.20 : x
  2. Step 2: Convert to fraction form
    102.96/154 = 92.20/x
  3. Step 3: Cross multiply
    102.96x = 154 × 92.20
  4. Step 4: Simplify right side
    102.96x = 14,198.80
  5. Step 5: Solve for x
    x = 14,198.80/102.96
  6. Step 6: Final answer
    x = 137.91

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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.