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Finding the Fourth Proportional to 17.31, 25.78 and 16.53

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Solution

The fourth proportional to 17.31, 25.78 and 16.53 is: 24.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 25.78 = 16.53 : x
  2. Step 2: Convert to fraction form
    17.31/25.78 = 16.53/x
  3. Step 3: Cross multiply
    17.31x = 25.78 × 16.53
  4. Step 4: Simplify right side
    17.31x = 426.14
  5. Step 5: Solve for x
    x = 426.14/17.31
  6. Step 6: Final answer
    x = 24.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.