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Finding the Fourth Proportional to 120.87, 181.40 and 69.57

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Solution

The fourth proportional to 120.87, 181.40 and 69.57 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 181.40 = 69.57 : x
  2. Step 2: Convert to fraction form
    120.87/181.40 = 69.57/x
  3. Step 3: Cross multiply
    120.87x = 181.40 × 69.57
  4. Step 4: Simplify right side
    120.87x = 12,619.65
  5. Step 5: Solve for x
    x = 12,619.65/120.87
  6. Step 6: Final answer
    x = 104.41

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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.