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Finding the Fourth Proportional to 155.69, 214.81 and 97.43

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Solution

The fourth proportional to 155.69, 214.81 and 97.43 is: 134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 214.81 = 97.43 : x
  2. Step 2: Convert to fraction form
    155.69/214.81 = 97.43/x
  3. Step 3: Cross multiply
    155.69x = 214.81 × 97.43
  4. Step 4: Simplify right side
    155.69x = 20,928.94
  5. Step 5: Solve for x
    x = 20,928.94/155.69
  6. Step 6: Final answer
    x = 134.43

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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.