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Finding the Fourth Proportional to 111.56, 153.50 and 108.86

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Solution

The fourth proportional to 111.56, 153.50 and 108.86 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.56 : 153.50 = 108.86 : x
  2. Step 2: Convert to fraction form
    111.56/153.50 = 108.86/x
  3. Step 3: Cross multiply
    111.56x = 153.50 × 108.86
  4. Step 4: Simplify right side
    111.56x = 16,708.70
  5. Step 5: Solve for x
    x = 16,708.70/111.56
  6. Step 6: Final answer
    x = 149.78

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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.