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Finding the Fourth Proportional to 111.40, 166.90 and 94.20

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Solution

The fourth proportional to 111.40, 166.90 and 94.20 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 166.90 = 94.20 : x
  2. Step 2: Convert to fraction form
    111.40/166.90 = 94.20/x
  3. Step 3: Cross multiply
    111.40x = 166.90 × 94.20
  4. Step 4: Simplify right side
    111.40x = 15,721.98
  5. Step 5: Solve for x
    x = 15,721.98/111.40
  6. Step 6: Final answer
    x = 141.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.