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Finding the Fourth Proportional to 103.33, 154.31 and 82.81

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Solution

The fourth proportional to 103.33, 154.31 and 82.81 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.33 : 154.31 = 82.81 : x
  2. Step 2: Convert to fraction form
    103.33/154.31 = 82.81/x
  3. Step 3: Cross multiply
    103.33x = 154.31 × 82.81
  4. Step 4: Simplify right side
    103.33x = 12,778.41
  5. Step 5: Solve for x
    x = 12,778.41/103.33
  6. Step 6: Final answer
    x = 123.67

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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.