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Finding the Fourth Proportional to 15.75, 23.64 and 7.74

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Solution

The fourth proportional to 15.75, 23.64 and 7.74 is: 11.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 23.64 = 7.74 : x
  2. Step 2: Convert to fraction form
    15.75/23.64 = 7.74/x
  3. Step 3: Cross multiply
    15.75x = 23.64 × 7.74
  4. Step 4: Simplify right side
    15.75x = 182.97
  5. Step 5: Solve for x
    x = 182.97/15.75
  6. Step 6: Final answer
    x = 11.62

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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.