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Finding the Fourth Proportional to 75.81, 113.71 and 27.06

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Solution

The fourth proportional to 75.81, 113.71 and 27.06 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 113.71 = 27.06 : x
  2. Step 2: Convert to fraction form
    75.81/113.71 = 27.06/x
  3. Step 3: Cross multiply
    75.81x = 113.71 × 27.06
  4. Step 4: Simplify right side
    75.81x = 3,076.79
  5. Step 5: Solve for x
    x = 3,076.79/75.81
  6. Step 6: Final answer
    x = 40.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.