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Finding the Fourth Proportional to 28.69, 42.69 and 28.05

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Solution

The fourth proportional to 28.69, 42.69 and 28.05 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.69 : 42.69 = 28.05 : x
  2. Step 2: Convert to fraction form
    28.69/42.69 = 28.05/x
  3. Step 3: Cross multiply
    28.69x = 42.69 × 28.05
  4. Step 4: Simplify right side
    28.69x = 1,197.40
  5. Step 5: Solve for x
    x = 1,197.40/28.69
  6. Step 6: Final answer
    x = 41.74

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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.