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Finding the Fourth Proportional to 48.57, 67.03 and 32.27

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Solution

The fourth proportional to 48.57, 67.03 and 32.27 is: 44.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 67.03 = 32.27 : x
  2. Step 2: Convert to fraction form
    48.57/67.03 = 32.27/x
  3. Step 3: Cross multiply
    48.57x = 67.03 × 32.27
  4. Step 4: Simplify right side
    48.57x = 2,162.64
  5. Step 5: Solve for x
    x = 2,162.64/48.57
  6. Step 6: Final answer
    x = 44.53

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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.