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Finding the Fourth Proportional to 111.24, 152.67 and 105.30

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Solution

The fourth proportional to 111.24, 152.67 and 105.30 is: 144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 152.67 = 105.30 : x
  2. Step 2: Convert to fraction form
    111.24/152.67 = 105.30/x
  3. Step 3: Cross multiply
    111.24x = 152.67 × 105.30
  4. Step 4: Simplify right side
    111.24x = 16,076.15
  5. Step 5: Solve for x
    x = 16,076.15/111.24
  6. Step 6: Final answer
    x = 144.52

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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.