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Finding the Fourth Proportional to 15.60, 23.34 and 11.61

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Solution

The fourth proportional to 15.60, 23.34 and 11.61 is: 17.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.60 : 23.34 = 11.61 : x
  2. Step 2: Convert to fraction form
    15.60/23.34 = 11.61/x
  3. Step 3: Cross multiply
    15.60x = 23.34 × 11.61
  4. Step 4: Simplify right side
    15.60x = 270.98
  5. Step 5: Solve for x
    x = 270.98/15.60
  6. Step 6: Final answer
    x = 17.37

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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.