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Finding the Fourth Proportional to 155.82, 214.99 and 97.57

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Solution

The fourth proportional to 155.82, 214.99 and 97.57 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 214.99 = 97.57 : x
  2. Step 2: Convert to fraction form
    155.82/214.99 = 97.57/x
  3. Step 3: Cross multiply
    155.82x = 214.99 × 97.57
  4. Step 4: Simplify right side
    155.82x = 20,976.57
  5. Step 5: Solve for x
    x = 20,976.57/155.82
  6. Step 6: Final answer
    x = 134.62

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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.