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Finding the Fourth Proportional to 45.57, 67.85 and 44.31

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Solution

The fourth proportional to 45.57, 67.85 and 44.31 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.57 : 67.85 = 44.31 : x
  2. Step 2: Convert to fraction form
    45.57/67.85 = 44.31/x
  3. Step 3: Cross multiply
    45.57x = 67.85 × 44.31
  4. Step 4: Simplify right side
    45.57x = 3,006.21
  5. Step 5: Solve for x
    x = 3,006.21/45.57
  6. Step 6: Final answer
    x = 65.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.