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Finding the Fourth Proportional to 111.04, 152.89 and 108.78

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Solution

The fourth proportional to 111.04, 152.89 and 108.78 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 152.89 = 108.78 : x
  2. Step 2: Convert to fraction form
    111.04/152.89 = 108.78/x
  3. Step 3: Cross multiply
    111.04x = 152.89 × 108.78
  4. Step 4: Simplify right side
    111.04x = 16,631.37
  5. Step 5: Solve for x
    x = 16,631.37/111.04
  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.