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Finding the Fourth Proportional to 30.07, 41.50 and 16.25

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Solution

The fourth proportional to 30.07, 41.50 and 16.25 is: 22.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.07 : 41.50 = 16.25 : x
  2. Step 2: Convert to fraction form
    30.07/41.50 = 16.25/x
  3. Step 3: Cross multiply
    30.07x = 41.50 × 16.25
  4. Step 4: Simplify right side
    30.07x = 674.44
  5. Step 5: Solve for x
    x = 674.44/30.07
  6. Step 6: Final answer
    x = 22.43

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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.