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Finding the Fourth Proportional to 51.66, 77.50 and 34.56

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Solution

The fourth proportional to 51.66, 77.50 and 34.56 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.50 = 34.56 : x
  2. Step 2: Convert to fraction form
    51.66/77.50 = 34.56/x
  3. Step 3: Cross multiply
    51.66x = 77.50 × 34.56
  4. Step 4: Simplify right side
    51.66x = 2,678.40
  5. Step 5: Solve for x
    x = 2,678.40/51.66
  6. Step 6: Final answer
    x = 51.85

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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.