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Finding the Fourth Proportional to 154.92, 213.80 and 92.75

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Solution

The fourth proportional to 154.92, 213.80 and 92.75 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 213.80 = 92.75 : x
  2. Step 2: Convert to fraction form
    154.92/213.80 = 92.75/x
  3. Step 3: Cross multiply
    154.92x = 213.80 × 92.75
  4. Step 4: Simplify right side
    154.92x = 19,828.42
  5. Step 5: Solve for x
    x = 19,828.42/154.92
  6. Step 6: Final answer
    x = 127.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.