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Finding the Fourth Proportional to 56.86, 85.29 and 16.28

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Solution

The fourth proportional to 56.86, 85.29 and 16.28 is: 24.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 85.29 = 16.28 : x
  2. Step 2: Convert to fraction form
    56.86/85.29 = 16.28/x
  3. Step 3: Cross multiply
    56.86x = 85.29 × 16.28
  4. Step 4: Simplify right side
    56.86x = 1,388.73
  5. Step 5: Solve for x
    x = 1,388.73/56.86
  6. Step 6: Final answer
    x = 24.42

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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.