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Finding the Fourth Proportional to 27.33, 37.68 and 22.14

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Solution

The fourth proportional to 27.33, 37.68 and 22.14 is: 30.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.33 : 37.68 = 22.14 : x
  2. Step 2: Convert to fraction form
    27.33/37.68 = 22.14/x
  3. Step 3: Cross multiply
    27.33x = 37.68 × 22.14
  4. Step 4: Simplify right side
    27.33x = 834.24
  5. Step 5: Solve for x
    x = 834.24/27.33
  6. Step 6: Final answer
    x = 30.52

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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.