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Finding the Fourth Proportional to 43.53, 65.31 and 16.49

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Solution

The fourth proportional to 43.53, 65.31 and 16.49 is: 24.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.53 : 65.31 = 16.49 : x
  2. Step 2: Convert to fraction form
    43.53/65.31 = 16.49/x
  3. Step 3: Cross multiply
    43.53x = 65.31 × 16.49
  4. Step 4: Simplify right side
    43.53x = 1,076.64
  5. Step 5: Solve for x
    x = 1,076.64/43.53
  6. Step 6: Final answer
    x = 24.73

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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.