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Finding the Fourth Proportional to 34.02, 50.78 and 29.54

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Solution

The fourth proportional to 34.02, 50.78 and 29.54 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.02 : 50.78 = 29.54 : x
  2. Step 2: Convert to fraction form
    34.02/50.78 = 29.54/x
  3. Step 3: Cross multiply
    34.02x = 50.78 × 29.54
  4. Step 4: Simplify right side
    34.02x = 1,500.04
  5. Step 5: Solve for x
    x = 1,500.04/34.02
  6. Step 6: Final answer
    x = 44.09

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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.