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Finding the Fourth Proportional to 34.98, 52.09 and 33.77

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Solution

The fourth proportional to 34.98, 52.09 and 33.77 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.98 : 52.09 = 33.77 : x
  2. Step 2: Convert to fraction form
    34.98/52.09 = 33.77/x
  3. Step 3: Cross multiply
    34.98x = 52.09 × 33.77
  4. Step 4: Simplify right side
    34.98x = 1,759.02
  5. Step 5: Solve for x
    x = 1,759.02/34.98
  6. Step 6: Final answer
    x = 50.28

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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.