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Finding the Fourth Proportional to 30.77, 42.49 and 20.42

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Solution

The fourth proportional to 30.77, 42.49 and 20.42 is: 28.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.77 : 42.49 = 20.42 : x
  2. Step 2: Convert to fraction form
    30.77/42.49 = 20.42/x
  3. Step 3: Cross multiply
    30.77x = 42.49 × 20.42
  4. Step 4: Simplify right side
    30.77x = 867.71
  5. Step 5: Solve for x
    x = 867.71/30.77
  6. Step 6: Final answer
    x = 28.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.