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Finding the Fourth Proportional to 44.97, 67.36 and 32.78

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Solution

The fourth proportional to 44.97, 67.36 and 32.78 is: 49.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.97 : 67.36 = 32.78 : x
  2. Step 2: Convert to fraction form
    44.97/67.36 = 32.78/x
  3. Step 3: Cross multiply
    44.97x = 67.36 × 32.78
  4. Step 4: Simplify right side
    44.97x = 2,208.06
  5. Step 5: Solve for x
    x = 2,208.06/44.97
  6. Step 6: Final answer
    x = 49.10

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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.