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Finding the Fourth Proportional to 43.51, 65.22 and 16.44

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Solution

The fourth proportional to 43.51, 65.22 and 16.44 is: 24.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.51 : 65.22 = 16.44 : x
  2. Step 2: Convert to fraction form
    43.51/65.22 = 16.44/x
  3. Step 3: Cross multiply
    43.51x = 65.22 × 16.44
  4. Step 4: Simplify right side
    43.51x = 1,072.22
  5. Step 5: Solve for x
    x = 1,072.22/43.51
  6. Step 6: Final answer
    x = 24.64

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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.