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Finding the Fourth Proportional to 17.45, 26.16 and 6.75

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Solution

The fourth proportional to 17.45, 26.16 and 6.75 is: 10.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.45 : 26.16 = 6.75 : x
  2. Step 2: Convert to fraction form
    17.45/26.16 = 6.75/x
  3. Step 3: Cross multiply
    17.45x = 26.16 × 6.75
  4. Step 4: Simplify right side
    17.45x = 176.58
  5. Step 5: Solve for x
    x = 176.58/17.45
  6. Step 6: Final answer
    x = 10.12

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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.