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Finding the Fourth Proportional to 50.42, 69.20 and 45.12

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Solution

The fourth proportional to 50.42, 69.20 and 45.12 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.42 : 69.20 = 45.12 : x
  2. Step 2: Convert to fraction form
    50.42/69.20 = 45.12/x
  3. Step 3: Cross multiply
    50.42x = 69.20 × 45.12
  4. Step 4: Simplify right side
    50.42x = 3,122.08
  5. Step 5: Solve for x
    x = 3,122.08/50.42
  6. Step 6: Final answer
    x = 61.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.