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Finding the Fourth Proportional to 16.70, 25.08 and 11.66

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Solution

The fourth proportional to 16.70, 25.08 and 11.66 is: 17.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.70 : 25.08 = 11.66 : x
  2. Step 2: Convert to fraction form
    16.70/25.08 = 11.66/x
  3. Step 3: Cross multiply
    16.70x = 25.08 × 11.66
  4. Step 4: Simplify right side
    16.70x = 292.37
  5. Step 5: Solve for x
    x = 292.37/16.70
  6. Step 6: Final answer
    x = 17.51

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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.