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Finding the Fourth Proportional to 100.43, 150.30 and 96.83

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Solution

The fourth proportional to 100.43, 150.30 and 96.83 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.43 : 150.30 = 96.83 : x
  2. Step 2: Convert to fraction form
    100.43/150.30 = 96.83/x
  3. Step 3: Cross multiply
    100.43x = 150.30 × 96.83
  4. Step 4: Simplify right side
    100.43x = 14,552.80
  5. Step 5: Solve for x
    x = 14,552.80/100.43
  6. Step 6: Final answer
    x = 144.91

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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.