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Finding the Fourth Proportional to 51.09, 76.49 and 35.70

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Solution

The fourth proportional to 51.09, 76.49 and 35.70 is: 53.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.09 : 76.49 = 35.70 : x
  2. Step 2: Convert to fraction form
    51.09/76.49 = 35.70/x
  3. Step 3: Cross multiply
    51.09x = 76.49 × 35.70
  4. Step 4: Simplify right side
    51.09x = 2,730.69
  5. Step 5: Solve for x
    x = 2,730.69/51.09
  6. Step 6: Final answer
    x = 53.45

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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.