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Finding the Fourth Proportional to 47.94, 66.16 and 33.42

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Solution

The fourth proportional to 47.94, 66.16 and 33.42 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.94 : 66.16 = 33.42 : x
  2. Step 2: Convert to fraction form
    47.94/66.16 = 33.42/x
  3. Step 3: Cross multiply
    47.94x = 66.16 × 33.42
  4. Step 4: Simplify right side
    47.94x = 2,211.07
  5. Step 5: Solve for x
    x = 2,211.07/47.94
  6. Step 6: Final answer
    x = 46.12

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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.