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Finding the Fourth Proportional to 51.10, 76.66 and 25.43

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Solution

The fourth proportional to 51.10, 76.66 and 25.43 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.10 : 76.66 = 25.43 : x
  2. Step 2: Convert to fraction form
    51.10/76.66 = 25.43/x
  3. Step 3: Cross multiply
    51.10x = 76.66 × 25.43
  4. Step 4: Simplify right side
    51.10x = 1,949.02
  5. Step 5: Solve for x
    x = 1,949.02/51.10
  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.