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Finding the Fourth Proportional to 28.96, 43.23 and 25.57

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Solution

The fourth proportional to 28.96, 43.23 and 25.57 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.96 : 43.23 = 25.57 : x
  2. Step 2: Convert to fraction form
    28.96/43.23 = 25.57/x
  3. Step 3: Cross multiply
    28.96x = 43.23 × 25.57
  4. Step 4: Simplify right side
    28.96x = 1,105.30
  5. Step 5: Solve for x
    x = 1,105.30/28.96
  6. Step 6: Final answer
    x = 38.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.