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Finding the Fourth Proportional to 111.42, 167.78 and 97.15

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Solution

The fourth proportional to 111.42, 167.78 and 97.15 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 167.78 = 97.15 : x
  2. Step 2: Convert to fraction form
    111.42/167.78 = 97.15/x
  3. Step 3: Cross multiply
    111.42x = 167.78 × 97.15
  4. Step 4: Simplify right side
    111.42x = 16,299.65
  5. Step 5: Solve for x
    x = 16,299.65/111.42
  6. Step 6: Final answer
    x = 146.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.