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Finding the Fourth Proportional to 45.75, 63.14 and 30.21

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Solution

The fourth proportional to 45.75, 63.14 and 30.21 is: 41.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.75 : 63.14 = 30.21 : x
  2. Step 2: Convert to fraction form
    45.75/63.14 = 30.21/x
  3. Step 3: Cross multiply
    45.75x = 63.14 × 30.21
  4. Step 4: Simplify right side
    45.75x = 1,906.99
  5. Step 5: Solve for x
    x = 1,906.99/45.75
  6. Step 6: Final answer
    x = 41.69

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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.