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Finding the Fourth Proportional to 154.52, 231.77 and 77.41

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Solution

The fourth proportional to 154.52, 231.77 and 77.41 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.52 : 231.77 = 77.41 : x
  2. Step 2: Convert to fraction form
    154.52/231.77 = 77.41/x
  3. Step 3: Cross multiply
    154.52x = 231.77 × 77.41
  4. Step 4: Simplify right side
    154.52x = 17,940.93
  5. Step 5: Solve for x
    x = 17,940.93/154.52
  6. Step 6: Final answer
    x = 116.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.