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Finding the Fourth Proportional to 50.50, 69.82 and 45.02

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Solution

The fourth proportional to 50.50, 69.82 and 45.02 is: 62.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 69.82 = 45.02 : x
  2. Step 2: Convert to fraction form
    50.50/69.82 = 45.02/x
  3. Step 3: Cross multiply
    50.50x = 69.82 × 45.02
  4. Step 4: Simplify right side
    50.50x = 3,143.30
  5. Step 5: Solve for x
    x = 3,143.30/50.50
  6. Step 6: Final answer
    x = 62.24

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Why These Related Problems?

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