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Finding the Fourth Proportional to 50.53, 76.14 and 45.97

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Solution

The fourth proportional to 50.53, 76.14 and 45.97 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.53 : 76.14 = 45.97 : x
  2. Step 2: Convert to fraction form
    50.53/76.14 = 45.97/x
  3. Step 3: Cross multiply
    50.53x = 76.14 × 45.97
  4. Step 4: Simplify right side
    50.53x = 3,500.16
  5. Step 5: Solve for x
    x = 3,500.16/50.53
  6. Step 6: Final answer
    x = 69.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.