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Finding the Fourth Proportional to 12.71, 19.01 and 9.29

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Solution

The fourth proportional to 12.71, 19.01 and 9.29 is: 13.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.71 : 19.01 = 9.29 : x
  2. Step 2: Convert to fraction form
    12.71/19.01 = 9.29/x
  3. Step 3: Cross multiply
    12.71x = 19.01 × 9.29
  4. Step 4: Simplify right side
    12.71x = 176.60
  5. Step 5: Solve for x
    x = 176.60/12.71
  6. Step 6: Final answer
    x = 13.89

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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.