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Finding the Fourth Proportional to 51, 70.41 and 33.78

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Solution

The fourth proportional to 51, 70.41 and 33.78 is: 46.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 70.41 = 33.78 : x
  2. Step 2: Convert to fraction form
    51/70.41 = 33.78/x
  3. Step 3: Cross multiply
    51x = 70.41 × 33.78
  4. Step 4: Simplify right side
    51x = 2,378.45
  5. Step 5: Solve for x
    x = 2,378.45/51
  6. Step 6: Final answer
    x = 46.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.