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Finding the Fourth Proportional to 27.14, 37.48 and 22.02

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Solution

The fourth proportional to 27.14, 37.48 and 22.02 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.14 : 37.48 = 22.02 : x
  2. Step 2: Convert to fraction form
    27.14/37.48 = 22.02/x
  3. Step 3: Cross multiply
    27.14x = 37.48 × 22.02
  4. Step 4: Simplify right side
    27.14x = 825.31
  5. Step 5: Solve for x
    x = 825.31/27.14
  6. Step 6: Final answer
    x = 30.41

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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.