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Finding the Fourth Proportional to 50.67, 75.96 and 23.58

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Solution

The fourth proportional to 50.67, 75.96 and 23.58 is: 35.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.67 : 75.96 = 23.58 : x
  2. Step 2: Convert to fraction form
    50.67/75.96 = 23.58/x
  3. Step 3: Cross multiply
    50.67x = 75.96 × 23.58
  4. Step 4: Simplify right side
    50.67x = 1,791.14
  5. Step 5: Solve for x
    x = 1,791.14/50.67
  6. Step 6: Final answer
    x = 35.35

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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.