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Finding the Fourth Proportional to 119.53, 178.77 and 104.09

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Solution

The fourth proportional to 119.53, 178.77 and 104.09 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 178.77 = 104.09 : x
  2. Step 2: Convert to fraction form
    119.53/178.77 = 104.09/x
  3. Step 3: Cross multiply
    119.53x = 178.77 × 104.09
  4. Step 4: Simplify right side
    119.53x = 18,607.20
  5. Step 5: Solve for x
    x = 18,607.20/119.53
  6. Step 6: Final answer
    x = 155.67

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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.