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Finding the Fourth Proportional to 34.11, 46.77 and 33.12

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Solution

The fourth proportional to 34.11, 46.77 and 33.12 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.11 : 46.77 = 33.12 : x
  2. Step 2: Convert to fraction form
    34.11/46.77 = 33.12/x
  3. Step 3: Cross multiply
    34.11x = 46.77 × 33.12
  4. Step 4: Simplify right side
    34.11x = 1,549.02
  5. Step 5: Solve for x
    x = 1,549.02/34.11
  6. Step 6: Final answer
    x = 45.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.