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Finding the Fourth Proportional to 51.90, 71.46 and 50.16

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Solution

The fourth proportional to 51.90, 71.46 and 50.16 is: 69.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 71.46 = 50.16 : x
  2. Step 2: Convert to fraction form
    51.90/71.46 = 50.16/x
  3. Step 3: Cross multiply
    51.90x = 71.46 × 50.16
  4. Step 4: Simplify right side
    51.90x = 3,584.43
  5. Step 5: Solve for x
    x = 3,584.43/51.90
  6. Step 6: Final answer
    x = 69.06

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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.