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Finding the Fourth Proportional to 51.42, 77.10 and 33.15

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Solution

The fourth proportional to 51.42, 77.10 and 33.15 is: 49.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 77.10 = 33.15 : x
  2. Step 2: Convert to fraction form
    51.42/77.10 = 33.15/x
  3. Step 3: Cross multiply
    51.42x = 77.10 × 33.15
  4. Step 4: Simplify right side
    51.42x = 2,555.87
  5. Step 5: Solve for x
    x = 2,555.87/51.42
  6. Step 6: Final answer
    x = 49.71

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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.