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Finding the Fourth Proportional to 15.00, 20.71 and 14.42

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Solution

The fourth proportional to 15.00, 20.71 and 14.42 is: 19.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.00 : 20.71 = 14.42 : x
  2. Step 2: Convert to fraction form
    15.00/20.71 = 14.42/x
  3. Step 3: Cross multiply
    15.00x = 20.71 × 14.42
  4. Step 4: Simplify right side
    15.00x = 298.71
  5. Step 5: Solve for x
    x = 298.71/15.00
  6. Step 6: Final answer
    x = 19.92

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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.