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Finding the Fourth Proportional to 154.20, 212.78 and 92.02

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Solution

The fourth proportional to 154.20, 212.78 and 92.02 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 212.78 = 92.02 : x
  2. Step 2: Convert to fraction form
    154.20/212.78 = 92.02/x
  3. Step 3: Cross multiply
    154.20x = 212.78 × 92.02
  4. Step 4: Simplify right side
    154.20x = 19,580.02
  5. Step 5: Solve for x
    x = 19,580.02/154.20
  6. Step 6: Final answer
    x = 126.98

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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.