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Finding the Fourth Proportional to 20.68, 28.53 and 11.46

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Solution

The fourth proportional to 20.68, 28.53 and 11.46 is: 15.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.68 : 28.53 = 11.46 : x
  2. Step 2: Convert to fraction form
    20.68/28.53 = 11.46/x
  3. Step 3: Cross multiply
    20.68x = 28.53 × 11.46
  4. Step 4: Simplify right side
    20.68x = 327.12
  5. Step 5: Solve for x
    x = 327.12/20.68
  6. Step 6: Final answer
    x = 15.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.