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Finding the Fourth Proportional to 17.51, 25.89 and 17.46

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Solution

The fourth proportional to 17.51, 25.89 and 17.46 is: 25.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.51 : 25.89 = 17.46 : x
  2. Step 2: Convert to fraction form
    17.51/25.89 = 17.46/x
  3. Step 3: Cross multiply
    17.51x = 25.89 × 17.46
  4. Step 4: Simplify right side
    17.51x = 452.04
  5. Step 5: Solve for x
    x = 452.04/17.51
  6. Step 6: Final answer
    x = 25.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.