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Finding the Fourth Proportional to 61.49, 84.83 and 35.61

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Solution

The fourth proportional to 61.49, 84.83 and 35.61 is: 49.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.49 : 84.83 = 35.61 : x
  2. Step 2: Convert to fraction form
    61.49/84.83 = 35.61/x
  3. Step 3: Cross multiply
    61.49x = 84.83 × 35.61
  4. Step 4: Simplify right side
    61.49x = 3,020.62
  5. Step 5: Solve for x
    x = 3,020.62/61.49
  6. Step 6: Final answer
    x = 49.13

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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.