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Finding the Fourth Proportional to 44.92, 67.30 and 34.06

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Solution

The fourth proportional to 44.92, 67.30 and 34.06 is: 51.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.92 : 67.30 = 34.06 : x
  2. Step 2: Convert to fraction form
    44.92/67.30 = 34.06/x
  3. Step 3: Cross multiply
    44.92x = 67.30 × 34.06
  4. Step 4: Simplify right side
    44.92x = 2,292.24
  5. Step 5: Solve for x
    x = 2,292.24/44.92
  6. Step 6: Final answer
    x = 51.03

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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.