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Finding the Fourth Proportional to 29.78, 41.07 and 20.06

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Solution

The fourth proportional to 29.78, 41.07 and 20.06 is: 27.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.78 : 41.07 = 20.06 : x
  2. Step 2: Convert to fraction form
    29.78/41.07 = 20.06/x
  3. Step 3: Cross multiply
    29.78x = 41.07 × 20.06
  4. Step 4: Simplify right side
    29.78x = 823.66
  5. Step 5: Solve for x
    x = 823.66/29.78
  6. Step 6: Final answer
    x = 27.66

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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.