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Finding the Fourth Proportional to 34.07, 50.82 and 33.06

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Solution

The fourth proportional to 34.07, 50.82 and 33.06 is: 49.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 50.82 = 33.06 : x
  2. Step 2: Convert to fraction form
    34.07/50.82 = 33.06/x
  3. Step 3: Cross multiply
    34.07x = 50.82 × 33.06
  4. Step 4: Simplify right side
    34.07x = 1,680.03
  5. Step 5: Solve for x
    x = 1,680.03/34.07
  6. Step 6: Final answer
    x = 49.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.