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Finding the Fourth Proportional to 30.44, 41.97 and 25.58

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Solution

The fourth proportional to 30.44, 41.97 and 25.58 is: 35.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.44 : 41.97 = 25.58 : x
  2. Step 2: Convert to fraction form
    30.44/41.97 = 25.58/x
  3. Step 3: Cross multiply
    30.44x = 41.97 × 25.58
  4. Step 4: Simplify right side
    30.44x = 1,073.59
  5. Step 5: Solve for x
    x = 1,073.59/30.44
  6. Step 6: Final answer
    x = 35.27

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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.