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Finding the Fourth Proportional to 44.84, 67.34 and 24.56

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Solution

The fourth proportional to 44.84, 67.34 and 24.56 is: 36.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.84 : 67.34 = 24.56 : x
  2. Step 2: Convert to fraction form
    44.84/67.34 = 24.56/x
  3. Step 3: Cross multiply
    44.84x = 67.34 × 24.56
  4. Step 4: Simplify right side
    44.84x = 1,653.75
  5. Step 5: Solve for x
    x = 1,653.75/44.84
  6. Step 6: Final answer
    x = 36.88

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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.