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Finding the Fourth Proportional to 155.58, 214.93 and 120.70

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Solution

The fourth proportional to 155.58, 214.93 and 120.70 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.58 : 214.93 = 120.70 : x
  2. Step 2: Convert to fraction form
    155.58/214.93 = 120.70/x
  3. Step 3: Cross multiply
    155.58x = 214.93 × 120.70
  4. Step 4: Simplify right side
    155.58x = 25,942.05
  5. Step 5: Solve for x
    x = 25,942.05/155.58
  6. Step 6: Final answer
    x = 166.74

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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.