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Finding the Fourth Proportional to 51.33, 76.70 and 45.39

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Solution

The fourth proportional to 51.33, 76.70 and 45.39 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.33 : 76.70 = 45.39 : x
  2. Step 2: Convert to fraction form
    51.33/76.70 = 45.39/x
  3. Step 3: Cross multiply
    51.33x = 76.70 × 45.39
  4. Step 4: Simplify right side
    51.33x = 3,481.41
  5. Step 5: Solve for x
    x = 3,481.41/51.33
  6. Step 6: Final answer
    x = 67.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.