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Finding the Fourth Proportional to 10.22, 14.08 and 6.76

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Solution

The fourth proportional to 10.22, 14.08 and 6.76 is: 9.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 14.08 = 6.76 : x
  2. Step 2: Convert to fraction form
    10.22/14.08 = 6.76/x
  3. Step 3: Cross multiply
    10.22x = 14.08 × 6.76
  4. Step 4: Simplify right side
    10.22x = 95.11
  5. Step 5: Solve for x
    x = 95.11/10.22
  6. Step 6: Final answer
    x = 9.31

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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.