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Finding the Fourth Proportional to 155.93, 214.94 and 120.89

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Solution

The fourth proportional to 155.93, 214.94 and 120.89 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.93 : 214.94 = 120.89 : x
  2. Step 2: Convert to fraction form
    155.93/214.94 = 120.89/x
  3. Step 3: Cross multiply
    155.93x = 214.94 × 120.89
  4. Step 4: Simplify right side
    155.93x = 25,984.94
  5. Step 5: Solve for x
    x = 25,984.94/155.93
  6. Step 6: Final answer
    x = 166.65

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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.