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Finding the Fourth Proportional to 30.33, 41.62 and 27.58

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Solution

The fourth proportional to 30.33, 41.62 and 27.58 is: 37.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.33 : 41.62 = 27.58 : x
  2. Step 2: Convert to fraction form
    30.33/41.62 = 27.58/x
  3. Step 3: Cross multiply
    30.33x = 41.62 × 27.58
  4. Step 4: Simplify right side
    30.33x = 1,147.88
  5. Step 5: Solve for x
    x = 1,147.88/30.33
  6. Step 6: Final answer
    x = 37.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.