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Finding the Fourth Proportional to 35.74, 49.36 and 27.58

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Solution

The fourth proportional to 35.74, 49.36 and 27.58 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.74 : 49.36 = 27.58 : x
  2. Step 2: Convert to fraction form
    35.74/49.36 = 27.58/x
  3. Step 3: Cross multiply
    35.74x = 49.36 × 27.58
  4. Step 4: Simplify right side
    35.74x = 1,361.35
  5. Step 5: Solve for x
    x = 1,361.35/35.74
  6. Step 6: Final answer
    x = 38.09

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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.