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Finding the Fourth Proportional to 74.76, 111.90 and 50.31

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Solution

The fourth proportional to 74.76, 111.90 and 50.31 is: 75.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 111.90 = 50.31 : x
  2. Step 2: Convert to fraction form
    74.76/111.90 = 50.31/x
  3. Step 3: Cross multiply
    74.76x = 111.90 × 50.31
  4. Step 4: Simplify right side
    74.76x = 5,629.69
  5. Step 5: Solve for x
    x = 5,629.69/74.76
  6. Step 6: Final answer
    x = 75.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.