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Finding the Fourth Proportional to 33.20, 49.80 and 14.93

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Solution

The fourth proportional to 33.20, 49.80 and 14.93 is: 22.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.20 : 49.80 = 14.93 : x
  2. Step 2: Convert to fraction form
    33.20/49.80 = 14.93/x
  3. Step 3: Cross multiply
    33.20x = 49.80 × 14.93
  4. Step 4: Simplify right side
    33.20x = 743.27
  5. Step 5: Solve for x
    x = 743.27/33.20
  6. Step 6: Final answer
    x = 22.39

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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.