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Finding the Fourth Proportional to 51.90, 77.97 and 47.82

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Solution

The fourth proportional to 51.90, 77.97 and 47.82 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.97 = 47.82 : x
  2. Step 2: Convert to fraction form
    51.90/77.97 = 47.82/x
  3. Step 3: Cross multiply
    51.90x = 77.97 × 47.82
  4. Step 4: Simplify right side
    51.90x = 3,728.53
  5. Step 5: Solve for x
    x = 3,728.53/51.90
  6. Step 6: Final answer
    x = 71.84

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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.