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Finding the Fourth Proportional to 34.73, 47.91 and 22.45

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Solution

The fourth proportional to 34.73, 47.91 and 22.45 is: 30.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.73 : 47.91 = 22.45 : x
  2. Step 2: Convert to fraction form
    34.73/47.91 = 22.45/x
  3. Step 3: Cross multiply
    34.73x = 47.91 × 22.45
  4. Step 4: Simplify right side
    34.73x = 1,075.38
  5. Step 5: Solve for x
    x = 1,075.38/34.73
  6. Step 6: Final answer
    x = 30.97

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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.