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Finding the Fourth Proportional to 111.63, 154.17 and 105.57

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Solution

The fourth proportional to 111.63, 154.17 and 105.57 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.63 : 154.17 = 105.57 : x
  2. Step 2: Convert to fraction form
    111.63/154.17 = 105.57/x
  3. Step 3: Cross multiply
    111.63x = 154.17 × 105.57
  4. Step 4: Simplify right side
    111.63x = 16,275.73
  5. Step 5: Solve for x
    x = 16,275.73/111.63
  6. Step 6: Final answer
    x = 145.80

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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.