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Finding the Fourth Proportional to 14.57, 20.07 and 13.21

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Solution

The fourth proportional to 14.57, 20.07 and 13.21 is: 18.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.57 : 20.07 = 13.21 : x
  2. Step 2: Convert to fraction form
    14.57/20.07 = 13.21/x
  3. Step 3: Cross multiply
    14.57x = 20.07 × 13.21
  4. Step 4: Simplify right side
    14.57x = 265.06
  5. Step 5: Solve for x
    x = 265.06/14.57
  6. Step 6: Final answer
    x = 18.19

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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.