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Finding the Fourth Proportional to 154.82, 231.95 and 94.00

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Solution

The fourth proportional to 154.82, 231.95 and 94.00 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 231.95 = 94.00 : x
  2. Step 2: Convert to fraction form
    154.82/231.95 = 94.00/x
  3. Step 3: Cross multiply
    154.82x = 231.95 × 94.00
  4. Step 4: Simplify right side
    154.82x = 21,802.96
  5. Step 5: Solve for x
    x = 21,802.96/154.82
  6. Step 6: Final answer
    x = 140.83

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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.