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Finding the Fourth Proportional to 27.40, 37.82 and 21.94

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Solution

The fourth proportional to 27.40, 37.82 and 21.94 is: 30.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 37.82 = 21.94 : x
  2. Step 2: Convert to fraction form
    27.40/37.82 = 21.94/x
  3. Step 3: Cross multiply
    27.40x = 37.82 × 21.94
  4. Step 4: Simplify right side
    27.40x = 829.77
  5. Step 5: Solve for x
    x = 829.77/27.40
  6. Step 6: Final answer
    x = 30.28

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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.