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Finding the Fourth Proportional to 33.46, 45.94 and 32.95

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Solution

The fourth proportional to 33.46, 45.94 and 32.95 is: 45.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 45.94 = 32.95 : x
  2. Step 2: Convert to fraction form
    33.46/45.94 = 32.95/x
  3. Step 3: Cross multiply
    33.46x = 45.94 × 32.95
  4. Step 4: Simplify right side
    33.46x = 1,513.53
  5. Step 5: Solve for x
    x = 1,513.53/33.46
  6. Step 6: Final answer
    x = 45.24

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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.