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Finding the Fourth Proportional to 29.82, 41.16 and 17.54

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Solution

The fourth proportional to 29.82, 41.16 and 17.54 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.82 : 41.16 = 17.54 : x
  2. Step 2: Convert to fraction form
    29.82/41.16 = 17.54/x
  3. Step 3: Cross multiply
    29.82x = 41.16 × 17.54
  4. Step 4: Simplify right side
    29.82x = 722.01
  5. Step 5: Solve for x
    x = 722.01/29.82
  6. Step 6: Final answer
    x = 24.21

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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.