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Finding the Fourth Proportional to 96.97, 145.45 and 28.49

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Solution

The fourth proportional to 96.97, 145.45 and 28.49 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 145.45 = 28.49 : x
  2. Step 2: Convert to fraction form
    96.97/145.45 = 28.49/x
  3. Step 3: Cross multiply
    96.97x = 145.45 × 28.49
  4. Step 4: Simplify right side
    96.97x = 4,143.00
  5. Step 5: Solve for x
    x = 4,143.00/96.97
  6. Step 6: Final answer
    x = 42.73

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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.