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Finding the Fourth Proportional to 154.50, 213.22 and 96.32

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Solution

The fourth proportional to 154.50, 213.22 and 96.32 is: 132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 213.22 = 96.32 : x
  2. Step 2: Convert to fraction form
    154.50/213.22 = 96.32/x
  3. Step 3: Cross multiply
    154.50x = 213.22 × 96.32
  4. Step 4: Simplify right side
    154.50x = 20,537.35
  5. Step 5: Solve for x
    x = 20,537.35/154.50
  6. Step 6: Final answer
    x = 132.93

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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.