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Finding the Fourth Proportional to 149.42, 206.17 and 97.66

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Solution

The fourth proportional to 149.42, 206.17 and 97.66 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 206.17 = 97.66 : x
  2. Step 2: Convert to fraction form
    149.42/206.17 = 97.66/x
  3. Step 3: Cross multiply
    149.42x = 206.17 × 97.66
  4. Step 4: Simplify right side
    149.42x = 20,134.56
  5. Step 5: Solve for x
    x = 20,134.56/149.42
  6. Step 6: Final answer
    x = 134.75

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