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Finding the Fourth Proportional to 111.28, 166.24 and 98.56

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Solution

The fourth proportional to 111.28, 166.24 and 98.56 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 166.24 = 98.56 : x
  2. Step 2: Convert to fraction form
    111.28/166.24 = 98.56/x
  3. Step 3: Cross multiply
    111.28x = 166.24 × 98.56
  4. Step 4: Simplify right side
    111.28x = 16,384.61
  5. Step 5: Solve for x
    x = 16,384.61/111.28
  6. Step 6: Final answer
    x = 147.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.