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Finding the Fourth Proportional to 34.13, 51.19 and 12.75

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Solution

The fourth proportional to 34.13, 51.19 and 12.75 is: 19.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 51.19 = 12.75 : x
  2. Step 2: Convert to fraction form
    34.13/51.19 = 12.75/x
  3. Step 3: Cross multiply
    34.13x = 51.19 × 12.75
  4. Step 4: Simplify right side
    34.13x = 652.67
  5. Step 5: Solve for x
    x = 652.67/34.13
  6. Step 6: Final answer
    x = 19.12

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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.