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Finding the Fourth Proportional to 51.62, 70.83 and 51.21

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Solution

The fourth proportional to 51.62, 70.83 and 51.21 is: 70.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.62 : 70.83 = 51.21 : x
  2. Step 2: Convert to fraction form
    51.62/70.83 = 51.21/x
  3. Step 3: Cross multiply
    51.62x = 70.83 × 51.21
  4. Step 4: Simplify right side
    51.62x = 3,627.20
  5. Step 5: Solve for x
    x = 3,627.20/51.62
  6. Step 6: Final answer
    x = 70.27

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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.