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Finding the Fourth Proportional to 15.40, 23.05 and 11.80

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Solution

The fourth proportional to 15.40, 23.05 and 11.80 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.40 : 23.05 = 11.80 : x
  2. Step 2: Convert to fraction form
    15.40/23.05 = 11.80/x
  3. Step 3: Cross multiply
    15.40x = 23.05 × 11.80
  4. Step 4: Simplify right side
    15.40x = 271.99
  5. Step 5: Solve for x
    x = 271.99/15.40
  6. Step 6: Final answer
    x = 17.66

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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.