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Finding the Fourth Proportional to 111.58, 153.69 and 105.23

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Solution

The fourth proportional to 111.58, 153.69 and 105.23 is: 144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.58 : 153.69 = 105.23 : x
  2. Step 2: Convert to fraction form
    111.58/153.69 = 105.23/x
  3. Step 3: Cross multiply
    111.58x = 153.69 × 105.23
  4. Step 4: Simplify right side
    111.58x = 16,172.80
  5. Step 5: Solve for x
    x = 16,172.80/111.58
  6. Step 6: Final answer
    x = 144.94

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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.