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Finding the Fourth Proportional to 56.81, 85.09 and 27.87

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Solution

The fourth proportional to 56.81, 85.09 and 27.87 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.81 : 85.09 = 27.87 : x
  2. Step 2: Convert to fraction form
    56.81/85.09 = 27.87/x
  3. Step 3: Cross multiply
    56.81x = 85.09 × 27.87
  4. Step 4: Simplify right side
    56.81x = 2,371.46
  5. Step 5: Solve for x
    x = 2,371.46/56.81
  6. Step 6: Final answer
    x = 41.74

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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.