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Finding the Fourth Proportional to 29.86, 41.26 and 27.12

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Solution

The fourth proportional to 29.86, 41.26 and 27.12 is: 37.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 41.26 = 27.12 : x
  2. Step 2: Convert to fraction form
    29.86/41.26 = 27.12/x
  3. Step 3: Cross multiply
    29.86x = 41.26 × 27.12
  4. Step 4: Simplify right side
    29.86x = 1,118.97
  5. Step 5: Solve for x
    x = 1,118.97/29.86
  6. Step 6: Final answer
    x = 37.47

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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.