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Finding the Fourth Proportional to 119.67, 179.57 and 110.35

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Solution

The fourth proportional to 119.67, 179.57 and 110.35 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.67 : 179.57 = 110.35 : x
  2. Step 2: Convert to fraction form
    119.67/179.57 = 110.35/x
  3. Step 3: Cross multiply
    119.67x = 179.57 × 110.35
  4. Step 4: Simplify right side
    119.67x = 19,815.55
  5. Step 5: Solve for x
    x = 19,815.55/119.67
  6. Step 6: Final answer
    x = 165.58

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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.