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Finding the Fourth Proportional to 111.78, 153.23 and 109.89

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Solution

The fourth proportional to 111.78, 153.23 and 109.89 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 153.23 = 109.89 : x
  2. Step 2: Convert to fraction form
    111.78/153.23 = 109.89/x
  3. Step 3: Cross multiply
    111.78x = 153.23 × 109.89
  4. Step 4: Simplify right side
    111.78x = 16,837.90
  5. Step 5: Solve for x
    x = 16,837.90/111.78
  6. Step 6: Final answer
    x = 150.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.