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Finding the Fourth Proportional to 56.93, 85.44 and 20.86

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Solution

The fourth proportional to 56.93, 85.44 and 20.86 is: 31.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.93 : 85.44 = 20.86 : x
  2. Step 2: Convert to fraction form
    56.93/85.44 = 20.86/x
  3. Step 3: Cross multiply
    56.93x = 85.44 × 20.86
  4. Step 4: Simplify right side
    56.93x = 1,782.28
  5. Step 5: Solve for x
    x = 1,782.28/56.93
  6. Step 6: Final answer
    x = 31.31

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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.