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Finding the Fourth Proportional to 154.83, 213.64 and 92.62

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Solution

The fourth proportional to 154.83, 213.64 and 92.62 is: 127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.83 : 213.64 = 92.62 : x
  2. Step 2: Convert to fraction form
    154.83/213.64 = 92.62/x
  3. Step 3: Cross multiply
    154.83x = 213.64 × 92.62
  4. Step 4: Simplify right side
    154.83x = 19,787.34
  5. Step 5: Solve for x
    x = 19,787.34/154.83
  6. Step 6: Final answer
    x = 127.80

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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.