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Finding the Fourth Proportional to 51.88, 71.27 and 47.44

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Solution

The fourth proportional to 51.88, 71.27 and 47.44 is: 65.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 71.27 = 47.44 : x
  2. Step 2: Convert to fraction form
    51.88/71.27 = 47.44/x
  3. Step 3: Cross multiply
    51.88x = 71.27 × 47.44
  4. Step 4: Simplify right side
    51.88x = 3,380.81
  5. Step 5: Solve for x
    x = 3,380.81/51.88
  6. Step 6: Final answer
    x = 65.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.