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Finding the Fourth Proportional to 154.36, 212.92 and 92.15

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Solution

The fourth proportional to 154.36, 212.92 and 92.15 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 212.92 = 92.15 : x
  2. Step 2: Convert to fraction form
    154.36/212.92 = 92.15/x
  3. Step 3: Cross multiply
    154.36x = 212.92 × 92.15
  4. Step 4: Simplify right side
    154.36x = 19,619.05
  5. Step 5: Solve for x
    x = 19,619.05/154.36
  6. Step 6: Final answer
    x = 127.10

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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.