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Finding the Fourth Proportional to 96.49, 144.74 and 31.46

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Solution

The fourth proportional to 96.49, 144.74 and 31.46 is: 47.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 144.74 = 31.46 : x
  2. Step 2: Convert to fraction form
    96.49/144.74 = 31.46/x
  3. Step 3: Cross multiply
    96.49x = 144.74 × 31.46
  4. Step 4: Simplify right side
    96.49x = 4,553.51
  5. Step 5: Solve for x
    x = 4,553.51/96.49
  6. Step 6: Final answer
    x = 47.19

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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.