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Finding the Fourth Proportional to 33.19, 49.77 and 23.05

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Solution

The fourth proportional to 33.19, 49.77 and 23.05 is: 34.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 49.77 = 23.05 : x
  2. Step 2: Convert to fraction form
    33.19/49.77 = 23.05/x
  3. Step 3: Cross multiply
    33.19x = 49.77 × 23.05
  4. Step 4: Simplify right side
    33.19x = 1,146.95
  5. Step 5: Solve for x
    x = 1,146.95/33.19
  6. Step 6: Final answer
    x = 34.56

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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.