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Finding the Fourth Proportional to 30.29, 41.82 and 27.41

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Solution

The fourth proportional to 30.29, 41.82 and 27.41 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.29 : 41.82 = 27.41 : x
  2. Step 2: Convert to fraction form
    30.29/41.82 = 27.41/x
  3. Step 3: Cross multiply
    30.29x = 41.82 × 27.41
  4. Step 4: Simplify right side
    30.29x = 1,146.29
  5. Step 5: Solve for x
    x = 1,146.29/30.29
  6. Step 6: Final answer
    x = 37.84

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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.