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Finding the Fourth Proportional to 154.50, 213.21 and 117.69

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Solution

The fourth proportional to 154.50, 213.21 and 117.69 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 213.21 = 117.69 : x
  2. Step 2: Convert to fraction form
    154.50/213.21 = 117.69/x
  3. Step 3: Cross multiply
    154.50x = 213.21 × 117.69
  4. Step 4: Simplify right side
    154.50x = 25,092.68
  5. Step 5: Solve for x
    x = 25,092.68/154.50
  6. Step 6: Final answer
    x = 162.41

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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.