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Finding the Fourth Proportional to 48.21, 66.56 and 34.41

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Solution

The fourth proportional to 48.21, 66.56 and 34.41 is: 47.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.21 : 66.56 = 34.41 : x
  2. Step 2: Convert to fraction form
    48.21/66.56 = 34.41/x
  3. Step 3: Cross multiply
    48.21x = 66.56 × 34.41
  4. Step 4: Simplify right side
    48.21x = 2,290.33
  5. Step 5: Solve for x
    x = 2,290.33/48.21
  6. Step 6: Final answer
    x = 47.51

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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.