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Finding the Fourth Proportional to 50.46, 69.62 and 31.06

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Solution

The fourth proportional to 50.46, 69.62 and 31.06 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 69.62 = 31.06 : x
  2. Step 2: Convert to fraction form
    50.46/69.62 = 31.06/x
  3. Step 3: Cross multiply
    50.46x = 69.62 × 31.06
  4. Step 4: Simplify right side
    50.46x = 2,162.24
  5. Step 5: Solve for x
    x = 2,162.24/50.46
  6. Step 6: Final answer
    x = 42.85

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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.