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Finding the Fourth Proportional to 28.90, 43.12 and 28.72

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Solution

The fourth proportional to 28.90, 43.12 and 28.72 is: 42.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.90 : 43.12 = 28.72 : x
  2. Step 2: Convert to fraction form
    28.90/43.12 = 28.72/x
  3. Step 3: Cross multiply
    28.90x = 43.12 × 28.72
  4. Step 4: Simplify right side
    28.90x = 1,238.41
  5. Step 5: Solve for x
    x = 1,238.41/28.90
  6. Step 6: Final answer
    x = 42.86

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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.