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Finding the Fourth Proportional to 27.75, 38.25 and 22.32

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Solution

The fourth proportional to 27.75, 38.25 and 22.32 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.75 : 38.25 = 22.32 : x
  2. Step 2: Convert to fraction form
    27.75/38.25 = 22.32/x
  3. Step 3: Cross multiply
    27.75x = 38.25 × 22.32
  4. Step 4: Simplify right side
    27.75x = 853.74
  5. Step 5: Solve for x
    x = 853.74/27.75
  6. Step 6: Final answer
    x = 30.77

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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.