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Finding the Fourth Proportional to 27.22, 37.56 and 22.84

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Solution

The fourth proportional to 27.22, 37.56 and 22.84 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.22 : 37.56 = 22.84 : x
  2. Step 2: Convert to fraction form
    27.22/37.56 = 22.84/x
  3. Step 3: Cross multiply
    27.22x = 37.56 × 22.84
  4. Step 4: Simplify right side
    27.22x = 858.00
  5. Step 5: Solve for x
    x = 858.00/27.22
  6. Step 6: Final answer
    x = 31.52

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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.