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Finding the Fourth Proportional to 29.22, 43.61 and 23.23

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Solution

The fourth proportional to 29.22, 43.61 and 23.23 is: 34.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.22 : 43.61 = 23.23 : x
  2. Step 2: Convert to fraction form
    29.22/43.61 = 23.23/x
  3. Step 3: Cross multiply
    29.22x = 43.61 × 23.23
  4. Step 4: Simplify right side
    29.22x = 1,013.06
  5. Step 5: Solve for x
    x = 1,013.06/29.22
  6. Step 6: Final answer
    x = 34.67

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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.