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Finding the Fourth Proportional to 51.88, 71.61 and 36.39

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Solution

The fourth proportional to 51.88, 71.61 and 36.39 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 71.61 = 36.39 : x
  2. Step 2: Convert to fraction form
    51.88/71.61 = 36.39/x
  3. Step 3: Cross multiply
    51.88x = 71.61 × 36.39
  4. Step 4: Simplify right side
    51.88x = 2,605.89
  5. Step 5: Solve for x
    x = 2,605.89/51.88
  6. Step 6: Final answer
    x = 50.23

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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.