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Finding the Fourth Proportional to 34.81, 48.05 and 20.26

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Solution

The fourth proportional to 34.81, 48.05 and 20.26 is: 27.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.81 : 48.05 = 20.26 : x
  2. Step 2: Convert to fraction form
    34.81/48.05 = 20.26/x
  3. Step 3: Cross multiply
    34.81x = 48.05 × 20.26
  4. Step 4: Simplify right side
    34.81x = 973.49
  5. Step 5: Solve for x
    x = 973.49/34.81
  6. Step 6: Final answer
    x = 27.97

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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.