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Finding the Fourth Proportional to 154.37, 213.02 and 84.43

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Solution

The fourth proportional to 154.37, 213.02 and 84.43 is: 116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 213.02 = 84.43 : x
  2. Step 2: Convert to fraction form
    154.37/213.02 = 84.43/x
  3. Step 3: Cross multiply
    154.37x = 213.02 × 84.43
  4. Step 4: Simplify right side
    154.37x = 17,984.96
  5. Step 5: Solve for x
    x = 17,984.96/154.37
  6. Step 6: Final answer
    x = 116.50

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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.