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Finding the Fourth Proportional to 51.88, 77.84 and 27.82

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Solution

The fourth proportional to 51.88, 77.84 and 27.82 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 77.84 = 27.82 : x
  2. Step 2: Convert to fraction form
    51.88/77.84 = 27.82/x
  3. Step 3: Cross multiply
    51.88x = 77.84 × 27.82
  4. Step 4: Simplify right side
    51.88x = 2,165.51
  5. Step 5: Solve for x
    x = 2,165.51/51.88
  6. Step 6: Final answer
    x = 41.74

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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.