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Finding the Fourth Proportional to 30.48, 41.82 and 29.96

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Solution

The fourth proportional to 30.48, 41.82 and 29.96 is: 41.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.48 : 41.82 = 29.96 : x
  2. Step 2: Convert to fraction form
    30.48/41.82 = 29.96/x
  3. Step 3: Cross multiply
    30.48x = 41.82 × 29.96
  4. Step 4: Simplify right side
    30.48x = 1,252.93
  5. Step 5: Solve for x
    x = 1,252.93/30.48
  6. Step 6: Final answer
    x = 41.11

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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.