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Finding the Fourth Proportional to 96.63, 144.96 and 31.61

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Solution

The fourth proportional to 96.63, 144.96 and 31.61 is: 47.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.63 : 144.96 = 31.61 : x
  2. Step 2: Convert to fraction form
    96.63/144.96 = 31.61/x
  3. Step 3: Cross multiply
    96.63x = 144.96 × 31.61
  4. Step 4: Simplify right side
    96.63x = 4,581.72
  5. Step 5: Solve for x
    x = 4,581.72/96.63
  6. Step 6: Final answer
    x = 47.42

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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.