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Finding the Fourth Proportional to 10.26, 14.14 and 7.38

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Solution

The fourth proportional to 10.26, 14.14 and 7.38 is: 10.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 14.14 = 7.38 : x
  2. Step 2: Convert to fraction form
    10.26/14.14 = 7.38/x
  3. Step 3: Cross multiply
    10.26x = 14.14 × 7.38
  4. Step 4: Simplify right side
    10.26x = 104.35
  5. Step 5: Solve for x
    x = 104.35/10.26
  6. Step 6: Final answer
    x = 10.17

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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.