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Finding the Fourth Proportional to 33.50, 46.54 and 32.94

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Solution

The fourth proportional to 33.50, 46.54 and 32.94 is: 45.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 46.54 = 32.94 : x
  2. Step 2: Convert to fraction form
    33.50/46.54 = 32.94/x
  3. Step 3: Cross multiply
    33.50x = 46.54 × 32.94
  4. Step 4: Simplify right side
    33.50x = 1,533.07
  5. Step 5: Solve for x
    x = 1,533.07/33.50
  6. Step 6: Final answer
    x = 45.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.