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Finding the Fourth Proportional to 52.20, 72.03 and 38.46

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Solution

The fourth proportional to 52.20, 72.03 and 38.46 is: 53.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.20 : 72.03 = 38.46 : x
  2. Step 2: Convert to fraction form
    52.20/72.03 = 38.46/x
  3. Step 3: Cross multiply
    52.20x = 72.03 × 38.46
  4. Step 4: Simplify right side
    52.20x = 2,770.27
  5. Step 5: Solve for x
    x = 2,770.27/52.20
  6. Step 6: Final answer
    x = 53.07

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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.