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Finding the Fourth Proportional to 155.68, 214.87 and 121.96

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Solution

The fourth proportional to 155.68, 214.87 and 121.96 is: 168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.68 : 214.87 = 121.96 : x
  2. Step 2: Convert to fraction form
    155.68/214.87 = 121.96/x
  3. Step 3: Cross multiply
    155.68x = 214.87 × 121.96
  4. Step 4: Simplify right side
    155.68x = 26,205.51
  5. Step 5: Solve for x
    x = 26,205.51/155.68
  6. Step 6: Final answer
    x = 168.33

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Why These Related Problems?

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