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Finding the Fourth Proportional to 15.68, 23.41 and 15.02

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Solution

The fourth proportional to 15.68, 23.41 and 15.02 is: 22.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.68 : 23.41 = 15.02 : x
  2. Step 2: Convert to fraction form
    15.68/23.41 = 15.02/x
  3. Step 3: Cross multiply
    15.68x = 23.41 × 15.02
  4. Step 4: Simplify right side
    15.68x = 351.62
  5. Step 5: Solve for x
    x = 351.62/15.68
  6. Step 6: Final answer
    x = 22.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.