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Finding the Fourth Proportional to 34.11, 51.06 and 29.84

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Solution

The fourth proportional to 34.11, 51.06 and 29.84 is: 44.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.11 : 51.06 = 29.84 : x
  2. Step 2: Convert to fraction form
    34.11/51.06 = 29.84/x
  3. Step 3: Cross multiply
    34.11x = 51.06 × 29.84
  4. Step 4: Simplify right side
    34.11x = 1,523.63
  5. Step 5: Solve for x
    x = 1,523.63/34.11
  6. Step 6: Final answer
    x = 44.67

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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.