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Finding the Fourth Proportional to 50.48, 69.66 and 31.07

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Solution

The fourth proportional to 50.48, 69.66 and 31.07 is: 42.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.48 : 69.66 = 31.07 : x
  2. Step 2: Convert to fraction form
    50.48/69.66 = 31.07/x
  3. Step 3: Cross multiply
    50.48x = 69.66 × 31.07
  4. Step 4: Simplify right side
    50.48x = 2,163.83
  5. Step 5: Solve for x
    x = 2,163.83/50.48
  6. Step 6: Final answer
    x = 42.87

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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.