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Finding the Fourth Proportional to 51.49, 70.67 and 46.85

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Solution

The fourth proportional to 51.49, 70.67 and 46.85 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.49 : 70.67 = 46.85 : x
  2. Step 2: Convert to fraction form
    51.49/70.67 = 46.85/x
  3. Step 3: Cross multiply
    51.49x = 70.67 × 46.85
  4. Step 4: Simplify right side
    51.49x = 3,311.25
  5. Step 5: Solve for x
    x = 3,311.25/51.49
  6. Step 6: Final answer
    x = 64.31

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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.