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Finding the Fourth Proportional to 43.82, 65.74 and 16.78

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Solution

The fourth proportional to 43.82, 65.74 and 16.78 is: 25.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.82 : 65.74 = 16.78 : x
  2. Step 2: Convert to fraction form
    43.82/65.74 = 16.78/x
  3. Step 3: Cross multiply
    43.82x = 65.74 × 16.78
  4. Step 4: Simplify right side
    43.82x = 1,103.12
  5. Step 5: Solve for x
    x = 1,103.12/43.82
  6. Step 6: Final answer
    x = 25.17

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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.