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Finding the Fourth Proportional to 50.50, 69.69 and 31.11

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Solution

The fourth proportional to 50.50, 69.69 and 31.11 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 69.69 = 31.11 : x
  2. Step 2: Convert to fraction form
    50.50/69.69 = 31.11/x
  3. Step 3: Cross multiply
    50.50x = 69.69 × 31.11
  4. Step 4: Simplify right side
    50.50x = 2,168.06
  5. Step 5: Solve for x
    x = 2,168.06/50.50
  6. Step 6: Final answer
    x = 42.93

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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.