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Finding the Fourth Proportional to 33.95, 46.57 and 32.92

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Solution

The fourth proportional to 33.95, 46.57 and 32.92 is: 45.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.95 : 46.57 = 32.92 : x
  2. Step 2: Convert to fraction form
    33.95/46.57 = 32.92/x
  3. Step 3: Cross multiply
    33.95x = 46.57 × 32.92
  4. Step 4: Simplify right side
    33.95x = 1,532.89
  5. Step 5: Solve for x
    x = 1,532.89/33.95
  6. Step 6: Final answer
    x = 45.16

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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.