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Finding the Fourth Proportional to 34.73, 51.96 and 29.02

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Solution

The fourth proportional to 34.73, 51.96 and 29.02 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.73 : 51.96 = 29.02 : x
  2. Step 2: Convert to fraction form
    34.73/51.96 = 29.02/x
  3. Step 3: Cross multiply
    34.73x = 51.96 × 29.02
  4. Step 4: Simplify right side
    34.73x = 1,507.88
  5. Step 5: Solve for x
    x = 1,507.88/34.73
  6. Step 6: Final answer
    x = 43.42

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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.