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Finding the Fourth Proportional to 103.74, 155.64 and 54.96

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Solution

The fourth proportional to 103.74, 155.64 and 54.96 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.74 : 155.64 = 54.96 : x
  2. Step 2: Convert to fraction form
    103.74/155.64 = 54.96/x
  3. Step 3: Cross multiply
    103.74x = 155.64 × 54.96
  4. Step 4: Simplify right side
    103.74x = 8,553.97
  5. Step 5: Solve for x
    x = 8,553.97/103.74
  6. Step 6: Final answer
    x = 82.46

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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.