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Finding the Fourth Proportional to 50.50, 76.10 and 42.13

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Solution

The fourth proportional to 50.50, 76.10 and 42.13 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 76.10 = 42.13 : x
  2. Step 2: Convert to fraction form
    50.50/76.10 = 42.13/x
  3. Step 3: Cross multiply
    50.50x = 76.10 × 42.13
  4. Step 4: Simplify right side
    50.50x = 3,206.09
  5. Step 5: Solve for x
    x = 3,206.09/50.50
  6. Step 6: Final answer
    x = 63.49

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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.