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Finding the Fourth Proportional to 41.71, 57.53 and 33.95

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Solution

The fourth proportional to 41.71, 57.53 and 33.95 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.71 : 57.53 = 33.95 : x
  2. Step 2: Convert to fraction form
    41.71/57.53 = 33.95/x
  3. Step 3: Cross multiply
    41.71x = 57.53 × 33.95
  4. Step 4: Simplify right side
    41.71x = 1,952.94
  5. Step 5: Solve for x
    x = 1,952.94/41.71
  6. Step 6: Final answer
    x = 46.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.