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Finding the Fourth Proportional to 51, 70.38 and 33.75

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Solution

The fourth proportional to 51, 70.38 and 33.75 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 70.38 = 33.75 : x
  2. Step 2: Convert to fraction form
    51/70.38 = 33.75/x
  3. Step 3: Cross multiply
    51x = 70.38 × 33.75
  4. Step 4: Simplify right side
    51x = 2,375.33
  5. Step 5: Solve for x
    x = 2,375.33/51
  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.