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Finding the Fourth Proportional to 45.26, 62.42 and 30.48

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Solution

The fourth proportional to 45.26, 62.42 and 30.48 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.26 : 62.42 = 30.48 : x
  2. Step 2: Convert to fraction form
    45.26/62.42 = 30.48/x
  3. Step 3: Cross multiply
    45.26x = 62.42 × 30.48
  4. Step 4: Simplify right side
    45.26x = 1,902.56
  5. Step 5: Solve for x
    x = 1,902.56/45.26
  6. Step 6: Final answer
    x = 42.04

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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.