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Finding the Fourth Proportional to 47.73, 71.99 and 45.26

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Solution

The fourth proportional to 47.73, 71.99 and 45.26 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.73 : 71.99 = 45.26 : x
  2. Step 2: Convert to fraction form
    47.73/71.99 = 45.26/x
  3. Step 3: Cross multiply
    47.73x = 71.99 × 45.26
  4. Step 4: Simplify right side
    47.73x = 3,257.68
  5. Step 5: Solve for x
    x = 3,257.68/47.73
  6. Step 6: Final answer
    x = 68.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.