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Finding the Fourth Proportional to 33.70, 50.55 and 13.40

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Solution

The fourth proportional to 33.70, 50.55 and 13.40 is: 20.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.70 : 50.55 = 13.40 : x
  2. Step 2: Convert to fraction form
    33.70/50.55 = 13.40/x
  3. Step 3: Cross multiply
    33.70x = 50.55 × 13.40
  4. Step 4: Simplify right side
    33.70x = 677.37
  5. Step 5: Solve for x
    x = 677.37/33.70
  6. Step 6: Final answer
    x = 20.10

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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.