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Finding the Fourth Proportional to 52.14, 71.97 and 39.21

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Solution

The fourth proportional to 52.14, 71.97 and 39.21 is: 54.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 71.97 = 39.21 : x
  2. Step 2: Convert to fraction form
    52.14/71.97 = 39.21/x
  3. Step 3: Cross multiply
    52.14x = 71.97 × 39.21
  4. Step 4: Simplify right side
    52.14x = 2,821.94
  5. Step 5: Solve for x
    x = 2,821.94/52.14
  6. Step 6: Final answer
    x = 54.12

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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.