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Finding the Fourth Proportional to 29.12, 43.67 and 7.74

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Solution

The fourth proportional to 29.12, 43.67 and 7.74 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.12 : 43.67 = 7.74 : x
  2. Step 2: Convert to fraction form
    29.12/43.67 = 7.74/x
  3. Step 3: Cross multiply
    29.12x = 43.67 × 7.74
  4. Step 4: Simplify right side
    29.12x = 338.01
  5. Step 5: Solve for x
    x = 338.01/29.12
  6. Step 6: Final answer
    x = 11.61

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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.