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Finding the Fourth Proportional to 28, 38.27 and 26.74

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Solution

The fourth proportional to 28, 38.27 and 26.74 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28 : 38.27 = 26.74 : x
  2. Step 2: Convert to fraction form
    28/38.27 = 26.74/x
  3. Step 3: Cross multiply
    28x = 38.27 × 26.74
  4. Step 4: Simplify right side
    28x = 1,023.34
  5. Step 5: Solve for x
    x = 1,023.34/28
  6. Step 6: Final answer
    x = 36.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.