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Finding the Fourth Proportional to 30.08, 41.48 and 21.44

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Solution

The fourth proportional to 30.08, 41.48 and 21.44 is: 29.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.08 : 41.48 = 21.44 : x
  2. Step 2: Convert to fraction form
    30.08/41.48 = 21.44/x
  3. Step 3: Cross multiply
    30.08x = 41.48 × 21.44
  4. Step 4: Simplify right side
    30.08x = 889.33
  5. Step 5: Solve for x
    x = 889.33/30.08
  6. Step 6: Final answer
    x = 29.57

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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.