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Finding the Fourth Proportional to 75.46, 104.22 and 52.22

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Solution

The fourth proportional to 75.46, 104.22 and 52.22 is: 72.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 104.22 = 52.22 : x
  2. Step 2: Convert to fraction form
    75.46/104.22 = 52.22/x
  3. Step 3: Cross multiply
    75.46x = 104.22 × 52.22
  4. Step 4: Simplify right side
    75.46x = 5,441.90
  5. Step 5: Solve for x
    x = 5,441.90/75.46
  6. Step 6: Final answer
    x = 72.12

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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.