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Finding the Fourth Proportional to 43.54, 65.34 and 16.49

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Solution

The fourth proportional to 43.54, 65.34 and 16.49 is: 24.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.54 : 65.34 = 16.49 : x
  2. Step 2: Convert to fraction form
    43.54/65.34 = 16.49/x
  3. Step 3: Cross multiply
    43.54x = 65.34 × 16.49
  4. Step 4: Simplify right side
    43.54x = 1,077.62
  5. Step 5: Solve for x
    x = 1,077.62/43.54
  6. Step 6: Final answer
    x = 24.75

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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.