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Finding the Fourth Proportional to 33.19, 49.75 and 19.64

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Solution

The fourth proportional to 33.19, 49.75 and 19.64 is: 29.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 49.75 = 19.64 : x
  2. Step 2: Convert to fraction form
    33.19/49.75 = 19.64/x
  3. Step 3: Cross multiply
    33.19x = 49.75 × 19.64
  4. Step 4: Simplify right side
    33.19x = 977.09
  5. Step 5: Solve for x
    x = 977.09/33.19
  6. Step 6: Final answer
    x = 29.44

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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.