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Finding the Fourth Proportional to 10.71, 16.10 and 10.29

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Solution

The fourth proportional to 10.71, 16.10 and 10.29 is: 15.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 16.10 = 10.29 : x
  2. Step 2: Convert to fraction form
    10.71/16.10 = 10.29/x
  3. Step 3: Cross multiply
    10.71x = 16.10 × 10.29
  4. Step 4: Simplify right side
    10.71x = 165.62
  5. Step 5: Solve for x
    x = 165.62/10.71
  6. Step 6: Final answer
    x = 15.46

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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.