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Finding the Fourth Proportional to 50.02, 69.09 and 45.40

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Solution

The fourth proportional to 50.02, 69.09 and 45.40 is: 62.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 69.09 = 45.40 : x
  2. Step 2: Convert to fraction form
    50.02/69.09 = 45.40/x
  3. Step 3: Cross multiply
    50.02x = 69.09 × 45.40
  4. Step 4: Simplify right side
    50.02x = 3,136.69
  5. Step 5: Solve for x
    x = 3,136.69/50.02
  6. Step 6: Final answer
    x = 62.71

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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.