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Finding the Fourth Proportional to 35.82, 49.78 and 35.45

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Solution

The fourth proportional to 35.82, 49.78 and 35.45 is: 49.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 49.78 = 35.45 : x
  2. Step 2: Convert to fraction form
    35.82/49.78 = 35.45/x
  3. Step 3: Cross multiply
    35.82x = 49.78 × 35.45
  4. Step 4: Simplify right side
    35.82x = 1,764.70
  5. Step 5: Solve for x
    x = 1,764.70/35.82
  6. Step 6: Final answer
    x = 49.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.