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Finding the Fourth Proportional to 34.00, 50.95 and 30.55

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Solution

The fourth proportional to 34.00, 50.95 and 30.55 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.00 : 50.95 = 30.55 : x
  2. Step 2: Convert to fraction form
    34.00/50.95 = 30.55/x
  3. Step 3: Cross multiply
    34.00x = 50.95 × 30.55
  4. Step 4: Simplify right side
    34.00x = 1,556.56
  5. Step 5: Solve for x
    x = 1,556.56/34.00
  6. Step 6: Final answer
    x = 45.78

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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.