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Finding the Fourth Proportional to 74.81, 103.14 and 50.24

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Solution

The fourth proportional to 74.81, 103.14 and 50.24 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 103.14 = 50.24 : x
  2. Step 2: Convert to fraction form
    74.81/103.14 = 50.24/x
  3. Step 3: Cross multiply
    74.81x = 103.14 × 50.24
  4. Step 4: Simplify right side
    74.81x = 5,181.75
  5. Step 5: Solve for x
    x = 5,181.75/74.81
  6. Step 6: Final answer
    x = 69.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.