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Finding the Fourth Proportional to 51.66, 77.45 and 27.27

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Solution

The fourth proportional to 51.66, 77.45 and 27.27 is: 40.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.45 = 27.27 : x
  2. Step 2: Convert to fraction form
    51.66/77.45 = 27.27/x
  3. Step 3: Cross multiply
    51.66x = 77.45 × 27.27
  4. Step 4: Simplify right side
    51.66x = 2,111.93
  5. Step 5: Solve for x
    x = 2,111.93/51.66
  6. Step 6: Final answer
    x = 40.88

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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.