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Finding the Fourth Proportional to 155.24, 213.89 and 111.50

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Solution

The fourth proportional to 155.24, 213.89 and 111.50 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 213.89 = 111.50 : x
  2. Step 2: Convert to fraction form
    155.24/213.89 = 111.50/x
  3. Step 3: Cross multiply
    155.24x = 213.89 × 111.50
  4. Step 4: Simplify right side
    155.24x = 23,847.67
  5. Step 5: Solve for x
    x = 23,847.67/155.24
  6. Step 6: Final answer
    x = 153.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.