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Finding the Fourth Proportional to 17.07, 25.51 and 16.48

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Solution

The fourth proportional to 17.07, 25.51 and 16.48 is: 24.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.07 : 25.51 = 16.48 : x
  2. Step 2: Convert to fraction form
    17.07/25.51 = 16.48/x
  3. Step 3: Cross multiply
    17.07x = 25.51 × 16.48
  4. Step 4: Simplify right side
    17.07x = 420.28
  5. Step 5: Solve for x
    x = 420.28/17.07
  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.