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Finding the Fourth Proportional to 111.74, 154.02 and 94.43

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Solution

The fourth proportional to 111.74, 154.02 and 94.43 is: 130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 154.02 = 94.43 : x
  2. Step 2: Convert to fraction form
    111.74/154.02 = 94.43/x
  3. Step 3: Cross multiply
    111.74x = 154.02 × 94.43
  4. Step 4: Simplify right side
    111.74x = 14,544.11
  5. Step 5: Solve for x
    x = 14,544.11/111.74
  6. Step 6: Final answer
    x = 130.16

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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.