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Finding the Fourth Proportional to 51.84, 71.48 and 36.25

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Solution

The fourth proportional to 51.84, 71.48 and 36.25 is: 49.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 71.48 = 36.25 : x
  2. Step 2: Convert to fraction form
    51.84/71.48 = 36.25/x
  3. Step 3: Cross multiply
    51.84x = 71.48 × 36.25
  4. Step 4: Simplify right side
    51.84x = 2,591.06
  5. Step 5: Solve for x
    x = 2,591.06/51.84
  6. Step 6: Final answer
    x = 49.98

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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.