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Finding the Fourth Proportional to 51.66, 77.50 and 33.14

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Solution

The fourth proportional to 51.66, 77.50 and 33.14 is: 49.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.50 = 33.14 : x
  2. Step 2: Convert to fraction form
    51.66/77.50 = 33.14/x
  3. Step 3: Cross multiply
    51.66x = 77.50 × 33.14
  4. Step 4: Simplify right side
    51.66x = 2,568.35
  5. Step 5: Solve for x
    x = 2,568.35/51.66
  6. Step 6: Final answer
    x = 49.72

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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.