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Finding the Fourth Proportional to 52.84, 72.87 and 36.22

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Solution

The fourth proportional to 52.84, 72.87 and 36.22 is: 49.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 72.87 = 36.22 : x
  2. Step 2: Convert to fraction form
    52.84/72.87 = 36.22/x
  3. Step 3: Cross multiply
    52.84x = 72.87 × 36.22
  4. Step 4: Simplify right side
    52.84x = 2,639.35
  5. Step 5: Solve for x
    x = 2,639.35/52.84
  6. Step 6: Final answer
    x = 49.95

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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.