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Finding the Fourth Proportional to 29.78, 41.10 and 17.33

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Solution

The fourth proportional to 29.78, 41.10 and 17.33 is: 23.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.78 : 41.10 = 17.33 : x
  2. Step 2: Convert to fraction form
    29.78/41.10 = 17.33/x
  3. Step 3: Cross multiply
    29.78x = 41.10 × 17.33
  4. Step 4: Simplify right side
    29.78x = 712.32
  5. Step 5: Solve for x
    x = 712.32/29.78
  6. Step 6: Final answer
    x = 23.92

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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.