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Finding the Fourth Proportional to 44.84, 67.42 and 34.20

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Solution

The fourth proportional to 44.84, 67.42 and 34.20 is: 51.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.84 : 67.42 = 34.20 : x
  2. Step 2: Convert to fraction form
    44.84/67.42 = 34.20/x
  3. Step 3: Cross multiply
    44.84x = 67.42 × 34.20
  4. Step 4: Simplify right side
    44.84x = 2,305.76
  5. Step 5: Solve for x
    x = 2,305.76/44.84
  6. Step 6: Final answer
    x = 51.42

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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.