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Finding the Fourth Proportional to 149.42, 206.16 and 97.67

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Solution

The fourth proportional to 149.42, 206.16 and 97.67 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 206.16 = 97.67 : x
  2. Step 2: Convert to fraction form
    149.42/206.16 = 97.67/x
  3. Step 3: Cross multiply
    149.42x = 206.16 × 97.67
  4. Step 4: Simplify right side
    149.42x = 20,135.65
  5. Step 5: Solve for x
    x = 20,135.65/149.42
  6. Step 6: Final answer
    x = 134.76

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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.