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Finding the Fourth Proportional to 52.06, 71.84 and 30.22

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Solution

The fourth proportional to 52.06, 71.84 and 30.22 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 71.84 = 30.22 : x
  2. Step 2: Convert to fraction form
    52.06/71.84 = 30.22/x
  3. Step 3: Cross multiply
    52.06x = 71.84 × 30.22
  4. Step 4: Simplify right side
    52.06x = 2,171.08
  5. Step 5: Solve for x
    x = 2,171.08/52.06
  6. Step 6: Final answer
    x = 41.71

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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.