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Finding the Fourth Proportional to 51.14, 76.72 and 27.08

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Solution

The fourth proportional to 51.14, 76.72 and 27.08 is: 40.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 76.72 = 27.08 : x
  2. Step 2: Convert to fraction form
    51.14/76.72 = 27.08/x
  3. Step 3: Cross multiply
    51.14x = 76.72 × 27.08
  4. Step 4: Simplify right side
    51.14x = 2,077.58
  5. Step 5: Solve for x
    x = 2,077.58/51.14
  6. Step 6: Final answer
    x = 40.63

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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.