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Finding the Fourth Proportional to 10.71, 16.05 and 7.71

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Solution

The fourth proportional to 10.71, 16.05 and 7.71 is: 11.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 16.05 = 7.71 : x
  2. Step 2: Convert to fraction form
    10.71/16.05 = 7.71/x
  3. Step 3: Cross multiply
    10.71x = 16.05 × 7.71
  4. Step 4: Simplify right side
    10.71x = 123.63
  5. Step 5: Solve for x
    x = 123.63/10.71
  6. Step 6: Final answer
    x = 11.54

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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.