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Finding the Fourth Proportional to 28.34, 42.44 and 16.28

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Solution

The fourth proportional to 28.34, 42.44 and 16.28 is: 24.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 42.44 = 16.28 : x
  2. Step 2: Convert to fraction form
    28.34/42.44 = 16.28/x
  3. Step 3: Cross multiply
    28.34x = 42.44 × 16.28
  4. Step 4: Simplify right side
    28.34x = 690.92
  5. Step 5: Solve for x
    x = 690.92/28.34
  6. Step 6: Final answer
    x = 24.38

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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.