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Finding the Fourth Proportional to 51.29, 70.72 and 33.78

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Solution

The fourth proportional to 51.29, 70.72 and 33.78 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.29 : 70.72 = 33.78 : x
  2. Step 2: Convert to fraction form
    51.29/70.72 = 33.78/x
  3. Step 3: Cross multiply
    51.29x = 70.72 × 33.78
  4. Step 4: Simplify right side
    51.29x = 2,388.92
  5. Step 5: Solve for x
    x = 2,388.92/51.29
  6. Step 6: Final answer
    x = 46.58

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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.