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Finding the Fourth Proportional to 14.25, 21.38 and 9.71

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Solution

The fourth proportional to 14.25, 21.38 and 9.71 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.25 : 21.38 = 9.71 : x
  2. Step 2: Convert to fraction form
    14.25/21.38 = 9.71/x
  3. Step 3: Cross multiply
    14.25x = 21.38 × 9.71
  4. Step 4: Simplify right side
    14.25x = 207.58
  5. Step 5: Solve for x
    x = 207.58/14.25
  6. Step 6: Final answer
    x = 14.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.