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Finding the Fourth Proportional to 50.57, 75.69 and 35.37

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Solution

The fourth proportional to 50.57, 75.69 and 35.37 is: 52.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.57 : 75.69 = 35.37 : x
  2. Step 2: Convert to fraction form
    50.57/75.69 = 35.37/x
  3. Step 3: Cross multiply
    50.57x = 75.69 × 35.37
  4. Step 4: Simplify right side
    50.57x = 2,677.02
  5. Step 5: Solve for x
    x = 2,677.02/50.57
  6. Step 6: Final answer
    x = 52.93

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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.