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Finding the Fourth Proportional to 13.77, 20.58 and 12.42

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Solution

The fourth proportional to 13.77, 20.58 and 12.42 is: 18.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.77 : 20.58 = 12.42 : x
  2. Step 2: Convert to fraction form
    13.77/20.58 = 12.42/x
  3. Step 3: Cross multiply
    13.77x = 20.58 × 12.42
  4. Step 4: Simplify right side
    13.77x = 255.60
  5. Step 5: Solve for x
    x = 255.60/13.77
  6. Step 6: Final answer
    x = 18.56

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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.