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Finding the Fourth Proportional to 142.64, 196.84 and 83.67

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Solution

The fourth proportional to 142.64, 196.84 and 83.67 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.64 : 196.84 = 83.67 : x
  2. Step 2: Convert to fraction form
    142.64/196.84 = 83.67/x
  3. Step 3: Cross multiply
    142.64x = 196.84 × 83.67
  4. Step 4: Simplify right side
    142.64x = 16,469.11
  5. Step 5: Solve for x
    x = 16,469.11/142.64
  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.