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Finding the Fourth Proportional to 43.81, 65.61 and 30.94

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Solution

The fourth proportional to 43.81, 65.61 and 30.94 is: 46.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.81 : 65.61 = 30.94 : x
  2. Step 2: Convert to fraction form
    43.81/65.61 = 30.94/x
  3. Step 3: Cross multiply
    43.81x = 65.61 × 30.94
  4. Step 4: Simplify right side
    43.81x = 2,029.97
  5. Step 5: Solve for x
    x = 2,029.97/43.81
  6. Step 6: Final answer
    x = 46.34

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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.