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Finding the Fourth Proportional to 48.73, 67.28 and 31.25

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Solution

The fourth proportional to 48.73, 67.28 and 31.25 is: 43.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 67.28 = 31.25 : x
  2. Step 2: Convert to fraction form
    48.73/67.28 = 31.25/x
  3. Step 3: Cross multiply
    48.73x = 67.28 × 31.25
  4. Step 4: Simplify right side
    48.73x = 2,102.50
  5. Step 5: Solve for x
    x = 2,102.50/48.73
  6. Step 6: Final answer
    x = 43.15

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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.