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Finding the Fourth Proportional to 154.98, 232.30 and 82.69

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Solution

The fourth proportional to 154.98, 232.30 and 82.69 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 232.30 = 82.69 : x
  2. Step 2: Convert to fraction form
    154.98/232.30 = 82.69/x
  3. Step 3: Cross multiply
    154.98x = 232.30 × 82.69
  4. Step 4: Simplify right side
    154.98x = 19,208.41
  5. Step 5: Solve for x
    x = 19,208.41/154.98
  6. Step 6: Final answer
    x = 123.94

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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.