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Finding the Fourth Proportional to 35.78, 49.32 and 27.14

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Solution

The fourth proportional to 35.78, 49.32 and 27.14 is: 37.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 49.32 = 27.14 : x
  2. Step 2: Convert to fraction form
    35.78/49.32 = 27.14/x
  3. Step 3: Cross multiply
    35.78x = 49.32 × 27.14
  4. Step 4: Simplify right side
    35.78x = 1,338.54
  5. Step 5: Solve for x
    x = 1,338.54/35.78
  6. Step 6: Final answer
    x = 37.41

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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.