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Finding the Fourth Proportional to 15.75, 23.62 and 7.62

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Solution

The fourth proportional to 15.75, 23.62 and 7.62 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 23.62 = 7.62 : x
  2. Step 2: Convert to fraction form
    15.75/23.62 = 7.62/x
  3. Step 3: Cross multiply
    15.75x = 23.62 × 7.62
  4. Step 4: Simplify right side
    15.75x = 180.08
  5. Step 5: Solve for x
    x = 180.08/15.75
  6. Step 6: Final answer
    x = 11.43

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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.