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Finding the Fourth Proportional to 20.48, 30.74 and 15.42

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Solution

The fourth proportional to 20.48, 30.74 and 15.42 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.48 : 30.74 = 15.42 : x
  2. Step 2: Convert to fraction form
    20.48/30.74 = 15.42/x
  3. Step 3: Cross multiply
    20.48x = 30.74 × 15.42
  4. Step 4: Simplify right side
    20.48x = 474.01
  5. Step 5: Solve for x
    x = 474.01/20.48
  6. Step 6: Final answer
    x = 23.15

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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.