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Finding the Fourth Proportional to 27.28, 37.68 and 26.20

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Solution

The fourth proportional to 27.28, 37.68 and 26.20 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.28 : 37.68 = 26.20 : x
  2. Step 2: Convert to fraction form
    27.28/37.68 = 26.20/x
  3. Step 3: Cross multiply
    27.28x = 37.68 × 26.20
  4. Step 4: Simplify right side
    27.28x = 987.22
  5. Step 5: Solve for x
    x = 987.22/27.28
  6. Step 6: Final answer
    x = 36.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.