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Finding the Fourth Proportional to 20.40, 30.42 and 18.60

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Solution

The fourth proportional to 20.40, 30.42 and 18.60 is: 27.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.40 : 30.42 = 18.60 : x
  2. Step 2: Convert to fraction form
    20.40/30.42 = 18.60/x
  3. Step 3: Cross multiply
    20.40x = 30.42 × 18.60
  4. Step 4: Simplify right side
    20.40x = 565.81
  5. Step 5: Solve for x
    x = 565.81/20.40
  6. Step 6: Final answer
    x = 27.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.