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Finding the Fourth Proportional to 12.30, 16.99 and 7.71

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Solution

The fourth proportional to 12.30, 16.99 and 7.71 is: 10.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.30 : 16.99 = 7.71 : x
  2. Step 2: Convert to fraction form
    12.30/16.99 = 7.71/x
  3. Step 3: Cross multiply
    12.30x = 16.99 × 7.71
  4. Step 4: Simplify right side
    12.30x = 130.99
  5. Step 5: Solve for x
    x = 130.99/12.30
  6. Step 6: Final answer
    x = 10.65

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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.