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Finding the Fourth Proportional to 10.26, 13.64 and 10.26

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Solution

The fourth proportional to 10.26, 13.64 and 10.26 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 13.64 = 10.26 : x
  2. Step 2: Convert to fraction form
    10.26/13.64 = 10.26/x
  3. Step 3: Cross multiply
    10.26x = 13.64 × 10.26
  4. Step 4: Simplify right side
    10.26x = 139.95
  5. Step 5: Solve for x
    x = 139.95/10.26
  6. Step 6: Final answer
    x = 13.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.