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Finding the Fourth Proportional to 125.67, 188.11 and 81.99

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Solution

The fourth proportional to 125.67, 188.11 and 81.99 is: 122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.67 : 188.11 = 81.99 : x
  2. Step 2: Convert to fraction form
    125.67/188.11 = 81.99/x
  3. Step 3: Cross multiply
    125.67x = 188.11 × 81.99
  4. Step 4: Simplify right side
    125.67x = 15,422.73
  5. Step 5: Solve for x
    x = 15,422.73/125.67
  6. Step 6: Final answer
    x = 122.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.