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Finding the Fourth Proportional to 34.97, 52.14 and 33.63

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Solution

The fourth proportional to 34.97, 52.14 and 33.63 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 52.14 = 33.63 : x
  2. Step 2: Convert to fraction form
    34.97/52.14 = 33.63/x
  3. Step 3: Cross multiply
    34.97x = 52.14 × 33.63
  4. Step 4: Simplify right side
    34.97x = 1,753.68
  5. Step 5: Solve for x
    x = 1,753.68/34.97
  6. Step 6: Final answer
    x = 50.15

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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.