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Finding the Fourth Proportional to 102.26, 153.38 and 33.78

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Solution

The fourth proportional to 102.26, 153.38 and 33.78 is: 50.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.26 : 153.38 = 33.78 : x
  2. Step 2: Convert to fraction form
    102.26/153.38 = 33.78/x
  3. Step 3: Cross multiply
    102.26x = 153.38 × 33.78
  4. Step 4: Simplify right side
    102.26x = 5,181.01
  5. Step 5: Solve for x
    x = 5,181.01/102.26
  6. Step 6: Final answer
    x = 50.67

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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.