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Finding the Fourth Proportional to 35.85, 49.43 and 30.05

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Solution

The fourth proportional to 35.85, 49.43 and 30.05 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.85 : 49.43 = 30.05 : x
  2. Step 2: Convert to fraction form
    35.85/49.43 = 30.05/x
  3. Step 3: Cross multiply
    35.85x = 49.43 × 30.05
  4. Step 4: Simplify right side
    35.85x = 1,484.97
  5. Step 5: Solve for x
    x = 1,484.97/35.85
  6. Step 6: Final answer
    x = 41.42

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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.