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Finding the Fourth Proportional to 51.77, 70.94 and 51.06

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Solution

The fourth proportional to 51.77, 70.94 and 51.06 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.77 : 70.94 = 51.06 : x
  2. Step 2: Convert to fraction form
    51.77/70.94 = 51.06/x
  3. Step 3: Cross multiply
    51.77x = 70.94 × 51.06
  4. Step 4: Simplify right side
    51.77x = 3,622.59
  5. Step 5: Solve for x
    x = 3,622.59/51.77
  6. Step 6: Final answer
    x = 69.97

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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.