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Finding the Fourth Proportional to 52.41, 72.30 and 36.03

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Solution

The fourth proportional to 52.41, 72.30 and 36.03 is: 49.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.41 : 72.30 = 36.03 : x
  2. Step 2: Convert to fraction form
    52.41/72.30 = 36.03/x
  3. Step 3: Cross multiply
    52.41x = 72.30 × 36.03
  4. Step 4: Simplify right side
    52.41x = 2,604.97
  5. Step 5: Solve for x
    x = 2,604.97/52.41
  6. Step 6: Final answer
    x = 49.70

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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.