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Finding the Fourth Proportional to 15.71, 23.55 and 11.23

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Solution

The fourth proportional to 15.71, 23.55 and 11.23 is: 16.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.71 : 23.55 = 11.23 : x
  2. Step 2: Convert to fraction form
    15.71/23.55 = 11.23/x
  3. Step 3: Cross multiply
    15.71x = 23.55 × 11.23
  4. Step 4: Simplify right side
    15.71x = 264.47
  5. Step 5: Solve for x
    x = 264.47/15.71
  6. Step 6: Final answer
    x = 16.83

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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.