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Finding the Fourth Proportional to 34.30, 51.37 and 20.02

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Solution

The fourth proportional to 34.30, 51.37 and 20.02 is: 29.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.30 : 51.37 = 20.02 : x
  2. Step 2: Convert to fraction form
    34.30/51.37 = 20.02/x
  3. Step 3: Cross multiply
    34.30x = 51.37 × 20.02
  4. Step 4: Simplify right side
    34.30x = 1,028.43
  5. Step 5: Solve for x
    x = 1,028.43/34.30
  6. Step 6: Final answer
    x = 29.98

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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.