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Finding the Fourth Proportional to 20.42, 30.64 and 11.46

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Solution

The fourth proportional to 20.42, 30.64 and 11.46 is: 17.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.42 : 30.64 = 11.46 : x
  2. Step 2: Convert to fraction form
    20.42/30.64 = 11.46/x
  3. Step 3: Cross multiply
    20.42x = 30.64 × 11.46
  4. Step 4: Simplify right side
    20.42x = 351.21
  5. Step 5: Solve for x
    x = 351.21/20.42
  6. Step 6: Final answer
    x = 17.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.