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Finding the Fourth Proportional to 34.23, 47.19 and 31.68

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Solution

The fourth proportional to 34.23, 47.19 and 31.68 is: 43.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.23 : 47.19 = 31.68 : x
  2. Step 2: Convert to fraction form
    34.23/47.19 = 31.68/x
  3. Step 3: Cross multiply
    34.23x = 47.19 × 31.68
  4. Step 4: Simplify right side
    34.23x = 1,494.98
  5. Step 5: Solve for x
    x = 1,494.98/34.23
  6. Step 6: Final answer
    x = 43.67

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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.