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Finding the Fourth Proportional to 10.76, 16.14 and 6.75

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Solution

The fourth proportional to 10.76, 16.14 and 6.75 is: 10.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.76 : 16.14 = 6.75 : x
  2. Step 2: Convert to fraction form
    10.76/16.14 = 6.75/x
  3. Step 3: Cross multiply
    10.76x = 16.14 × 6.75
  4. Step 4: Simplify right side
    10.76x = 108.95
  5. Step 5: Solve for x
    x = 108.95/10.76
  6. Step 6: Final answer
    x = 10.13

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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.