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Finding the Fourth Proportional to 20.60, 30.77 and 17.22

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Solution

The fourth proportional to 20.60, 30.77 and 17.22 is: 25.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.60 : 30.77 = 17.22 : x
  2. Step 2: Convert to fraction form
    20.60/30.77 = 17.22/x
  3. Step 3: Cross multiply
    20.60x = 30.77 × 17.22
  4. Step 4: Simplify right side
    20.60x = 529.77
  5. Step 5: Solve for x
    x = 529.77/20.60
  6. Step 6: Final answer
    x = 25.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.