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Finding the Fourth Proportional to 111.43, 166.34 and 95.95

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Solution

The fourth proportional to 111.43, 166.34 and 95.95 is: 143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.43 : 166.34 = 95.95 : x
  2. Step 2: Convert to fraction form
    111.43/166.34 = 95.95/x
  3. Step 3: Cross multiply
    111.43x = 166.34 × 95.95
  4. Step 4: Simplify right side
    111.43x = 15,960.32
  5. Step 5: Solve for x
    x = 15,960.32/111.43
  6. Step 6: Final answer
    x = 143.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.