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Finding the Fourth Proportional to 5.50, 8.25 and 1.94

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Solution

The fourth proportional to 5.50, 8.25 and 1.94 is: 2.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 8.25 = 1.94 : x
  2. Step 2: Convert to fraction form
    5.50/8.25 = 1.94/x
  3. Step 3: Cross multiply
    5.50x = 8.25 × 1.94
  4. Step 4: Simplify right side
    5.50x = 16.01
  5. Step 5: Solve for x
    x = 16.01/5.50
  6. Step 6: Final answer
    x = 2.91

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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.