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Finding the Fourth Proportional to 10.29, 14.17 and 9.73

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Solution

The fourth proportional to 10.29, 14.17 and 9.73 is: 13.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.29 : 14.17 = 9.73 : x
  2. Step 2: Convert to fraction form
    10.29/14.17 = 9.73/x
  3. Step 3: Cross multiply
    10.29x = 14.17 × 9.73
  4. Step 4: Simplify right side
    10.29x = 137.90
  5. Step 5: Solve for x
    x = 137.90/10.29
  6. Step 6: Final answer
    x = 13.40

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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.