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Finding the Fourth Proportional to 111.11, 153.32 and 83.42

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Solution

The fourth proportional to 111.11, 153.32 and 83.42 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.11 : 153.32 = 83.42 : x
  2. Step 2: Convert to fraction form
    111.11/153.32 = 83.42/x
  3. Step 3: Cross multiply
    111.11x = 153.32 × 83.42
  4. Step 4: Simplify right side
    111.11x = 12,789.92
  5. Step 5: Solve for x
    x = 12,789.92/111.11
  6. Step 6: Final answer
    x = 115.11

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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.