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Finding the Fourth Proportional to 51.38, 76.93 and 40.70

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Solution

The fourth proportional to 51.38, 76.93 and 40.70 is: 60.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 76.93 = 40.70 : x
  2. Step 2: Convert to fraction form
    51.38/76.93 = 40.70/x
  3. Step 3: Cross multiply
    51.38x = 76.93 × 40.70
  4. Step 4: Simplify right side
    51.38x = 3,131.05
  5. Step 5: Solve for x
    x = 3,131.05/51.38
  6. Step 6: Final answer
    x = 60.94

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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.