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Finding the Fourth Proportional to 111.96, 154.58 and 82.98

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Solution

The fourth proportional to 111.96, 154.58 and 82.98 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 154.58 = 82.98 : x
  2. Step 2: Convert to fraction form
    111.96/154.58 = 82.98/x
  3. Step 3: Cross multiply
    111.96x = 154.58 × 82.98
  4. Step 4: Simplify right side
    111.96x = 12,826.63
  5. Step 5: Solve for x
    x = 12,826.63/111.96
  6. Step 6: Final answer
    x = 114.56

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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.