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Finding the Fourth Proportional to 10.34, 14.25 and 7.75

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Solution

The fourth proportional to 10.34, 14.25 and 7.75 is: 10.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.34 : 14.25 = 7.75 : x
  2. Step 2: Convert to fraction form
    10.34/14.25 = 7.75/x
  3. Step 3: Cross multiply
    10.34x = 14.25 × 7.75
  4. Step 4: Simplify right side
    10.34x = 110.44
  5. Step 5: Solve for x
    x = 110.44/10.34
  6. Step 6: Final answer
    x = 10.68

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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.