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Finding the Fourth Proportional to 51.01, 76.58 and 33.05

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Solution

The fourth proportional to 51.01, 76.58 and 33.05 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.01 : 76.58 = 33.05 : x
  2. Step 2: Convert to fraction form
    51.01/76.58 = 33.05/x
  3. Step 3: Cross multiply
    51.01x = 76.58 × 33.05
  4. Step 4: Simplify right side
    51.01x = 2,530.97
  5. Step 5: Solve for x
    x = 2,530.97/51.01
  6. Step 6: Final answer
    x = 49.62

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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.