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Finding the Fourth Proportional to 66, 98.96 and 25.44

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Solution

The fourth proportional to 66, 98.96 and 25.44 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 98.96 = 25.44 : x
  2. Step 2: Convert to fraction form
    66/98.96 = 25.44/x
  3. Step 3: Cross multiply
    66x = 98.96 × 25.44
  4. Step 4: Simplify right side
    66x = 2,517.54
  5. Step 5: Solve for x
    x = 2,517.54/66
  6. Step 6: Final answer
    x = 38.14

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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.