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Finding the Fourth Proportional to 56, 83.96 and 27.12

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Solution

The fourth proportional to 56, 83.96 and 27.12 is: 40.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 83.96 = 27.12 : x
  2. Step 2: Convert to fraction form
    56/83.96 = 27.12/x
  3. Step 3: Cross multiply
    56x = 83.96 × 27.12
  4. Step 4: Simplify right side
    56x = 2,277.00
  5. Step 5: Solve for x
    x = 2,277.00/56
  6. Step 6: Final answer
    x = 40.66

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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.