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Finding the Fourth Proportional to 20.44, 30.77 and 17.50

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Solution

The fourth proportional to 20.44, 30.77 and 17.50 is: 26.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.44 : 30.77 = 17.50 : x
  2. Step 2: Convert to fraction form
    20.44/30.77 = 17.50/x
  3. Step 3: Cross multiply
    20.44x = 30.77 × 17.50
  4. Step 4: Simplify right side
    20.44x = 538.48
  5. Step 5: Solve for x
    x = 538.48/20.44
  6. Step 6: Final answer
    x = 26.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.