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Finding the Fourth Proportional to 49.46, 73.82 and 43.38

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Solution

The fourth proportional to 49.46, 73.82 and 43.38 is: 64.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.46 : 73.82 = 43.38 : x
  2. Step 2: Convert to fraction form
    49.46/73.82 = 43.38/x
  3. Step 3: Cross multiply
    49.46x = 73.82 × 43.38
  4. Step 4: Simplify right side
    49.46x = 3,202.09
  5. Step 5: Solve for x
    x = 3,202.09/49.46
  6. Step 6: Final answer
    x = 64.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.