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Finding the Fourth Proportional to 34.83, 52.24 and 14.52

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Solution

The fourth proportional to 34.83, 52.24 and 14.52 is: 21.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.83 : 52.24 = 14.52 : x
  2. Step 2: Convert to fraction form
    34.83/52.24 = 14.52/x
  3. Step 3: Cross multiply
    34.83x = 52.24 × 14.52
  4. Step 4: Simplify right side
    34.83x = 758.35
  5. Step 5: Solve for x
    x = 758.35/34.83
  6. Step 6: Final answer
    x = 21.78

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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.