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Finding the Fourth Proportional to 28.85, 43.31 and 28.64

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Solution

The fourth proportional to 28.85, 43.31 and 28.64 is: 42.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.85 : 43.31 = 28.64 : x
  2. Step 2: Convert to fraction form
    28.85/43.31 = 28.64/x
  3. Step 3: Cross multiply
    28.85x = 43.31 × 28.64
  4. Step 4: Simplify right side
    28.85x = 1,240.04
  5. Step 5: Solve for x
    x = 1,240.04/28.85
  6. Step 6: Final answer
    x = 42.99

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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.