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Finding the Fourth Proportional to 119.68, 179.42 and 54.67

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Solution

The fourth proportional to 119.68, 179.42 and 54.67 is: 81.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.68 : 179.42 = 54.67 : x
  2. Step 2: Convert to fraction form
    119.68/179.42 = 54.67/x
  3. Step 3: Cross multiply
    119.68x = 179.42 × 54.67
  4. Step 4: Simplify right side
    119.68x = 9,808.89
  5. Step 5: Solve for x
    x = 9,808.89/119.68
  6. Step 6: Final answer
    x = 81.96

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Why These Related Problems?

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