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Finding the Fourth Proportional to 96.44, 144.68 and 31.44

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Solution

The fourth proportional to 96.44, 144.68 and 31.44 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.44 : 144.68 = 31.44 : x
  2. Step 2: Convert to fraction form
    96.44/144.68 = 31.44/x
  3. Step 3: Cross multiply
    96.44x = 144.68 × 31.44
  4. Step 4: Simplify right side
    96.44x = 4,548.58
  5. Step 5: Solve for x
    x = 4,548.58/96.44
  6. Step 6: Final answer
    x = 47.17

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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.