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Finding the Fourth Proportional to 34.24, 51.38 and 19.02

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Solution

The fourth proportional to 34.24, 51.38 and 19.02 is: 28.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.24 : 51.38 = 19.02 : x
  2. Step 2: Convert to fraction form
    34.24/51.38 = 19.02/x
  3. Step 3: Cross multiply
    34.24x = 51.38 × 19.02
  4. Step 4: Simplify right side
    34.24x = 977.31
  5. Step 5: Solve for x
    x = 977.31/34.24
  6. Step 6: Final answer
    x = 28.54

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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.