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Finding the Fourth Proportional to 155.99, 234.01 and 121.82

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Solution

The fourth proportional to 155.99, 234.01 and 121.82 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 234.01 = 121.82 : x
  2. Step 2: Convert to fraction form
    155.99/234.01 = 121.82/x
  3. Step 3: Cross multiply
    155.99x = 234.01 × 121.82
  4. Step 4: Simplify right side
    155.99x = 28,507.10
  5. Step 5: Solve for x
    x = 28,507.10/155.99
  6. Step 6: Final answer
    x = 182.75

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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.