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Finding the Fourth Proportional to 27.10, 37.38 and 22.49

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Solution

The fourth proportional to 27.10, 37.38 and 22.49 is: 31.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 37.38 = 22.49 : x
  2. Step 2: Convert to fraction form
    27.10/37.38 = 22.49/x
  3. Step 3: Cross multiply
    27.10x = 37.38 × 22.49
  4. Step 4: Simplify right side
    27.10x = 840.68
  5. Step 5: Solve for x
    x = 840.68/27.10
  6. Step 6: Final answer
    x = 31.02

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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.