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Finding the Fourth Proportional to 48.06, 71.91 and 30.96

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Solution

The fourth proportional to 48.06, 71.91 and 30.96 is: 46.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.06 : 71.91 = 30.96 : x
  2. Step 2: Convert to fraction form
    48.06/71.91 = 30.96/x
  3. Step 3: Cross multiply
    48.06x = 71.91 × 30.96
  4. Step 4: Simplify right side
    48.06x = 2,226.33
  5. Step 5: Solve for x
    x = 2,226.33/48.06
  6. Step 6: Final answer
    x = 46.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.