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Finding the Fourth Proportional to 35.49, 48.94 and 30.09

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Solution

The fourth proportional to 35.49, 48.94 and 30.09 is: 41.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.49 : 48.94 = 30.09 : x
  2. Step 2: Convert to fraction form
    35.49/48.94 = 30.09/x
  3. Step 3: Cross multiply
    35.49x = 48.94 × 30.09
  4. Step 4: Simplify right side
    35.49x = 1,472.60
  5. Step 5: Solve for x
    x = 1,472.60/35.49
  6. Step 6: Final answer
    x = 41.49

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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.