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Finding the Fourth Proportional to 32.86, 49.07 and 27.74

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Solution

The fourth proportional to 32.86, 49.07 and 27.74 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.86 : 49.07 = 27.74 : x
  2. Step 2: Convert to fraction form
    32.86/49.07 = 27.74/x
  3. Step 3: Cross multiply
    32.86x = 49.07 × 27.74
  4. Step 4: Simplify right side
    32.86x = 1,361.14
  5. Step 5: Solve for x
    x = 1,361.14/32.86
  6. Step 6: Final answer
    x = 41.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.