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Finding the Fourth Proportional to 14.57, 20.10 and 13.43

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Solution

The fourth proportional to 14.57, 20.10 and 13.43 is: 18.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.57 : 20.10 = 13.43 : x
  2. Step 2: Convert to fraction form
    14.57/20.10 = 13.43/x
  3. Step 3: Cross multiply
    14.57x = 20.10 × 13.43
  4. Step 4: Simplify right side
    14.57x = 269.94
  5. Step 5: Solve for x
    x = 269.94/14.57
  6. Step 6: Final answer
    x = 18.53

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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.