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Finding the Fourth Proportional to 155.07, 214.24 and 121.99

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Solution

The fourth proportional to 155.07, 214.24 and 121.99 is: 168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.07 : 214.24 = 121.99 : x
  2. Step 2: Convert to fraction form
    155.07/214.24 = 121.99/x
  3. Step 3: Cross multiply
    155.07x = 214.24 × 121.99
  4. Step 4: Simplify right side
    155.07x = 26,135.14
  5. Step 5: Solve for x
    x = 26,135.14/155.07
  6. Step 6: Final answer
    x = 168.54

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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.