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Finding the Fourth Proportional to 146.68, 202.41 and 83.67

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Solution

The fourth proportional to 146.68, 202.41 and 83.67 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 202.41 = 83.67 : x
  2. Step 2: Convert to fraction form
    146.68/202.41 = 83.67/x
  3. Step 3: Cross multiply
    146.68x = 202.41 × 83.67
  4. Step 4: Simplify right side
    146.68x = 16,935.69
  5. Step 5: Solve for x
    x = 16,935.69/146.68
  6. Step 6: Final answer
    x = 115.46

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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.