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Finding the Fourth Proportional to 11.57, 17.45 and 11.00

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Solution

The fourth proportional to 11.57, 17.45 and 11.00 is: 16.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 17.45 = 11.00 : x
  2. Step 2: Convert to fraction form
    11.57/17.45 = 11.00/x
  3. Step 3: Cross multiply
    11.57x = 17.45 × 11.00
  4. Step 4: Simplify right side
    11.57x = 191.98
  5. Step 5: Solve for x
    x = 191.98/11.57
  6. Step 6: Final answer
    x = 16.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.