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Finding the Fourth Proportional to 15.69, 23.54 and 9.68

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Solution

The fourth proportional to 15.69, 23.54 and 9.68 is: 14.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.69 : 23.54 = 9.68 : x
  2. Step 2: Convert to fraction form
    15.69/23.54 = 9.68/x
  3. Step 3: Cross multiply
    15.69x = 23.54 × 9.68
  4. Step 4: Simplify right side
    15.69x = 227.87
  5. Step 5: Solve for x
    x = 227.87/15.69
  6. Step 6: Final answer
    x = 14.52

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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.