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Finding the Fourth Proportional to 51.34, 76.78 and 33.01

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Solution

The fourth proportional to 51.34, 76.78 and 33.01 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.34 : 76.78 = 33.01 : x
  2. Step 2: Convert to fraction form
    51.34/76.78 = 33.01/x
  3. Step 3: Cross multiply
    51.34x = 76.78 × 33.01
  4. Step 4: Simplify right side
    51.34x = 2,534.62
  5. Step 5: Solve for x
    x = 2,534.62/51.34
  6. Step 6: Final answer
    x = 49.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.