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Finding the Fourth Proportional to 50.72, 69.60 and 45.76

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Solution

The fourth proportional to 50.72, 69.60 and 45.76 is: 62.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 69.60 = 45.76 : x
  2. Step 2: Convert to fraction form
    50.72/69.60 = 45.76/x
  3. Step 3: Cross multiply
    50.72x = 69.60 × 45.76
  4. Step 4: Simplify right side
    50.72x = 3,184.90
  5. Step 5: Solve for x
    x = 3,184.90/50.72
  6. Step 6: Final answer
    x = 62.79

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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.