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Finding the Fourth Proportional to 20.48, 30.72 and 12.35

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Solution

The fourth proportional to 20.48, 30.72 and 12.35 is: 18.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.48 : 30.72 = 12.35 : x
  2. Step 2: Convert to fraction form
    20.48/30.72 = 12.35/x
  3. Step 3: Cross multiply
    20.48x = 30.72 × 12.35
  4. Step 4: Simplify right side
    20.48x = 379.43
  5. Step 5: Solve for x
    x = 379.43/20.48
  6. Step 6: Final answer
    x = 18.53

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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.