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Finding the Fourth Proportional to 56.80, 85.22 and 16.23

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Solution

The fourth proportional to 56.80, 85.22 and 16.23 is: 24.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.80 : 85.22 = 16.23 : x
  2. Step 2: Convert to fraction form
    56.80/85.22 = 16.23/x
  3. Step 3: Cross multiply
    56.80x = 85.22 × 16.23
  4. Step 4: Simplify right side
    56.80x = 1,382.70
  5. Step 5: Solve for x
    x = 1,382.70/56.80
  6. Step 6: Final answer
    x = 24.34

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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.