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Finding the Fourth Proportional to 50.70, 76 and 42.09

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Solution

The fourth proportional to 50.70, 76 and 42.09 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 76 = 42.09 : x
  2. Step 2: Convert to fraction form
    50.70/76 = 42.09/x
  3. Step 3: Cross multiply
    50.70x = 76 × 42.09
  4. Step 4: Simplify right side
    50.70x = 3,198.84
  5. Step 5: Solve for x
    x = 3,198.84/50.70
  6. Step 6: Final answer
    x = 63.09

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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.