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Finding the Fourth Proportional to 27.10, 37.34 and 19.81

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Solution

The fourth proportional to 27.10, 37.34 and 19.81 is: 27.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 37.34 = 19.81 : x
  2. Step 2: Convert to fraction form
    27.10/37.34 = 19.81/x
  3. Step 3: Cross multiply
    27.10x = 37.34 × 19.81
  4. Step 4: Simplify right side
    27.10x = 739.73
  5. Step 5: Solve for x
    x = 739.73/27.10
  6. Step 6: Final answer
    x = 27.29

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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.