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Finding the Fourth Proportional to 20.42, 28.06 and 16.10

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Solution

The fourth proportional to 20.42, 28.06 and 16.10 is: 22.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.42 : 28.06 = 16.10 : x
  2. Step 2: Convert to fraction form
    20.42/28.06 = 16.10/x
  3. Step 3: Cross multiply
    20.42x = 28.06 × 16.10
  4. Step 4: Simplify right side
    20.42x = 451.77
  5. Step 5: Solve for x
    x = 451.77/20.42
  6. Step 6: Final answer
    x = 22.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.