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Finding the Fourth Proportional to 49.03, 73.55 and 30.97

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Solution

The fourth proportional to 49.03, 73.55 and 30.97 is: 46.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.03 : 73.55 = 30.97 : x
  2. Step 2: Convert to fraction form
    49.03/73.55 = 30.97/x
  3. Step 3: Cross multiply
    49.03x = 73.55 × 30.97
  4. Step 4: Simplify right side
    49.03x = 2,277.84
  5. Step 5: Solve for x
    x = 2,277.84/49.03
  6. Step 6: Final answer
    x = 46.46

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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.