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Finding the Fourth Proportional to 49.49, 74.12 and 35.92

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Solution

The fourth proportional to 49.49, 74.12 and 35.92 is: 53.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.49 : 74.12 = 35.92 : x
  2. Step 2: Convert to fraction form
    49.49/74.12 = 35.92/x
  3. Step 3: Cross multiply
    49.49x = 74.12 × 35.92
  4. Step 4: Simplify right side
    49.49x = 2,662.03
  5. Step 5: Solve for x
    x = 2,662.03/49.49
  6. Step 6: Final answer
    x = 53.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.