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Finding the Fourth Proportional to 27.00, 37.23 and 20.84

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Solution

The fourth proportional to 27.00, 37.23 and 20.84 is: 28.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.00 : 37.23 = 20.84 : x
  2. Step 2: Convert to fraction form
    27.00/37.23 = 20.84/x
  3. Step 3: Cross multiply
    27.00x = 37.23 × 20.84
  4. Step 4: Simplify right side
    27.00x = 776.15
  5. Step 5: Solve for x
    x = 776.15/27.00
  6. Step 6: Final answer
    x = 28.75

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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.