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Finding the Fourth Proportional to 155.62, 214.78 and 120.70

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Solution

The fourth proportional to 155.62, 214.78 and 120.70 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.62 : 214.78 = 120.70 : x
  2. Step 2: Convert to fraction form
    155.62/214.78 = 120.70/x
  3. Step 3: Cross multiply
    155.62x = 214.78 × 120.70
  4. Step 4: Simplify right side
    155.62x = 25,923.95
  5. Step 5: Solve for x
    x = 25,923.95/155.62
  6. Step 6: Final answer
    x = 166.58

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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.