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Finding the Fourth Proportional to 125.66, 174.22 and 119.50

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Solution

The fourth proportional to 125.66, 174.22 and 119.50 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.66 : 174.22 = 119.50 : x
  2. Step 2: Convert to fraction form
    125.66/174.22 = 119.50/x
  3. Step 3: Cross multiply
    125.66x = 174.22 × 119.50
  4. Step 4: Simplify right side
    125.66x = 20,818.56
  5. Step 5: Solve for x
    x = 20,818.56/125.66
  6. Step 6: Final answer
    x = 165.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.