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Finding the Fourth Proportional to 49.73, 74.09 and 46.63

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Solution

The fourth proportional to 49.73, 74.09 and 46.63 is: 69.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.73 : 74.09 = 46.63 : x
  2. Step 2: Convert to fraction form
    49.73/74.09 = 46.63/x
  3. Step 3: Cross multiply
    49.73x = 74.09 × 46.63
  4. Step 4: Simplify right side
    49.73x = 3,454.21
  5. Step 5: Solve for x
    x = 3,454.21/49.73
  6. Step 6: Final answer
    x = 69.46

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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.