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Finding the Fourth Proportional to 48.93, 73.25 and 30.84

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Solution

The fourth proportional to 48.93, 73.25 and 30.84 is: 46.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.93 : 73.25 = 30.84 : x
  2. Step 2: Convert to fraction form
    48.93/73.25 = 30.84/x
  3. Step 3: Cross multiply
    48.93x = 73.25 × 30.84
  4. Step 4: Simplify right side
    48.93x = 2,258.88
  5. Step 5: Solve for x
    x = 2,258.88/48.93
  6. Step 6: Final answer
    x = 46.17

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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.