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Finding the Fourth Proportional to 29.69, 44.28 and 27.67

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Solution

The fourth proportional to 29.69, 44.28 and 27.67 is: 41.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 44.28 = 27.67 : x
  2. Step 2: Convert to fraction form
    29.69/44.28 = 27.67/x
  3. Step 3: Cross multiply
    29.69x = 44.28 × 27.67
  4. Step 4: Simplify right side
    29.69x = 1,225.23
  5. Step 5: Solve for x
    x = 1,225.23/29.69
  6. Step 6: Final answer
    x = 41.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.