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Finding the Fourth Proportional to 28.39, 42.56 and 26.89

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Solution

The fourth proportional to 28.39, 42.56 and 26.89 is: 40.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.39 : 42.56 = 26.89 : x
  2. Step 2: Convert to fraction form
    28.39/42.56 = 26.89/x
  3. Step 3: Cross multiply
    28.39x = 42.56 × 26.89
  4. Step 4: Simplify right side
    28.39x = 1,144.30
  5. Step 5: Solve for x
    x = 1,144.30/28.39
  6. Step 6: Final answer
    x = 40.31

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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.