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Finding the Fourth Proportional to 146.70, 202.46 and 84.54

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Solution

The fourth proportional to 146.70, 202.46 and 84.54 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 202.46 = 84.54 : x
  2. Step 2: Convert to fraction form
    146.70/202.46 = 84.54/x
  3. Step 3: Cross multiply
    146.70x = 202.46 × 84.54
  4. Step 4: Simplify right side
    146.70x = 17,115.97
  5. Step 5: Solve for x
    x = 17,115.97/146.70
  6. Step 6: Final answer
    x = 116.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.