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Finding the Fourth Proportional to 154.62, 213.33 and 97.83

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Solution

The fourth proportional to 154.62, 213.33 and 97.83 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 213.33 = 97.83 : x
  2. Step 2: Convert to fraction form
    154.62/213.33 = 97.83/x
  3. Step 3: Cross multiply
    154.62x = 213.33 × 97.83
  4. Step 4: Simplify right side
    154.62x = 20,870.07
  5. Step 5: Solve for x
    x = 20,870.07/154.62
  6. Step 6: Final answer
    x = 134.98

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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.