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Finding the Fourth Proportional to 35.69, 49.11 and 27.50

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Solution

The fourth proportional to 35.69, 49.11 and 27.50 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.69 : 49.11 = 27.50 : x
  2. Step 2: Convert to fraction form
    35.69/49.11 = 27.50/x
  3. Step 3: Cross multiply
    35.69x = 49.11 × 27.50
  4. Step 4: Simplify right side
    35.69x = 1,350.28
  5. Step 5: Solve for x
    x = 1,350.28/35.69
  6. Step 6: Final answer
    x = 37.84

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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.