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Finding the Fourth Proportional to 50.69, 75.80 and 37.70

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Solution

The fourth proportional to 50.69, 75.80 and 37.70 is: 56.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 75.80 = 37.70 : x
  2. Step 2: Convert to fraction form
    50.69/75.80 = 37.70/x
  3. Step 3: Cross multiply
    50.69x = 75.80 × 37.70
  4. Step 4: Simplify right side
    50.69x = 2,857.09
  5. Step 5: Solve for x
    x = 2,857.09/50.69
  6. Step 6: Final answer
    x = 56.37

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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.