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Finding the Fourth Proportional to 30.44, 41.88 and 30.37

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Solution

The fourth proportional to 30.44, 41.88 and 30.37 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.44 : 41.88 = 30.37 : x
  2. Step 2: Convert to fraction form
    30.44/41.88 = 30.37/x
  3. Step 3: Cross multiply
    30.44x = 41.88 × 30.37
  4. Step 4: Simplify right side
    30.44x = 1,271.69
  5. Step 5: Solve for x
    x = 1,271.69/30.44
  6. Step 6: Final answer
    x = 41.78

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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.