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Finding the Fourth Proportional to 34.35, 51.50 and 19.13

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Solution

The fourth proportional to 34.35, 51.50 and 19.13 is: 28.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.35 : 51.50 = 19.13 : x
  2. Step 2: Convert to fraction form
    34.35/51.50 = 19.13/x
  3. Step 3: Cross multiply
    34.35x = 51.50 × 19.13
  4. Step 4: Simplify right side
    34.35x = 984.84
  5. Step 5: Solve for x
    x = 984.84/34.35
  6. Step 6: Final answer
    x = 28.67

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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.