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Finding the Fourth Proportional to 52.57, 72.46 and 36.22

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Solution

The fourth proportional to 52.57, 72.46 and 36.22 is: 49.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 72.46 = 36.22 : x
  2. Step 2: Convert to fraction form
    52.57/72.46 = 36.22/x
  3. Step 3: Cross multiply
    52.57x = 72.46 × 36.22
  4. Step 4: Simplify right side
    52.57x = 2,624.50
  5. Step 5: Solve for x
    x = 2,624.50/52.57
  6. Step 6: Final answer
    x = 49.92

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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.