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Finding the Fourth Proportional to 48.69, 67.21 and 31.44

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Solution

The fourth proportional to 48.69, 67.21 and 31.44 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 67.21 = 31.44 : x
  2. Step 2: Convert to fraction form
    48.69/67.21 = 31.44/x
  3. Step 3: Cross multiply
    48.69x = 67.21 × 31.44
  4. Step 4: Simplify right side
    48.69x = 2,112.93
  5. Step 5: Solve for x
    x = 2,112.93/48.69
  6. Step 6: Final answer
    x = 43.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.