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Finding the Fourth Proportional to 46.82, 70.20 and 22.46

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Solution

The fourth proportional to 46.82, 70.20 and 22.46 is: 33.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 70.20 = 22.46 : x
  2. Step 2: Convert to fraction form
    46.82/70.20 = 22.46/x
  3. Step 3: Cross multiply
    46.82x = 70.20 × 22.46
  4. Step 4: Simplify right side
    46.82x = 1,576.74
  5. Step 5: Solve for x
    x = 1,576.74/46.82
  6. Step 6: Final answer
    x = 33.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.