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Finding the Fourth Proportional to 81.76, 122.46 and 64.54

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Solution

The fourth proportional to 81.76, 122.46 and 64.54 is: 96.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.76 : 122.46 = 64.54 : x
  2. Step 2: Convert to fraction form
    81.76/122.46 = 64.54/x
  3. Step 3: Cross multiply
    81.76x = 122.46 × 64.54
  4. Step 4: Simplify right side
    81.76x = 7,903.57
  5. Step 5: Solve for x
    x = 7,903.57/81.76
  6. Step 6: Final answer
    x = 96.67

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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.