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Finding the Fourth Proportional to 43.29, 64.90 and 16.22

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Solution

The fourth proportional to 43.29, 64.90 and 16.22 is: 24.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.29 : 64.90 = 16.22 : x
  2. Step 2: Convert to fraction form
    43.29/64.90 = 16.22/x
  3. Step 3: Cross multiply
    43.29x = 64.90 × 16.22
  4. Step 4: Simplify right side
    43.29x = 1,052.80
  5. Step 5: Solve for x
    x = 1,052.80/43.29
  6. Step 6: Final answer
    x = 24.32

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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.