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Finding the Fourth Proportional to 33.98, 46.57 and 32.72

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Solution

The fourth proportional to 33.98, 46.57 and 32.72 is: 44.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.98 : 46.57 = 32.72 : x
  2. Step 2: Convert to fraction form
    33.98/46.57 = 32.72/x
  3. Step 3: Cross multiply
    33.98x = 46.57 × 32.72
  4. Step 4: Simplify right side
    33.98x = 1,523.77
  5. Step 5: Solve for x
    x = 1,523.77/33.98
  6. Step 6: Final answer
    x = 44.84

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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.