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Finding the Fourth Proportional to 34.20, 51.08 and 34.01

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Solution

The fourth proportional to 34.20, 51.08 and 34.01 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.20 : 51.08 = 34.01 : x
  2. Step 2: Convert to fraction form
    34.20/51.08 = 34.01/x
  3. Step 3: Cross multiply
    34.20x = 51.08 × 34.01
  4. Step 4: Simplify right side
    34.20x = 1,736.81
  5. Step 5: Solve for x
    x = 1,736.81/34.20
  6. Step 6: Final answer
    x = 50.78

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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.