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Finding the Fourth Proportional to 48.11, 72.12 and 21.03

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Solution

The fourth proportional to 48.11, 72.12 and 21.03 is: 31.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.11 : 72.12 = 21.03 : x
  2. Step 2: Convert to fraction form
    48.11/72.12 = 21.03/x
  3. Step 3: Cross multiply
    48.11x = 72.12 × 21.03
  4. Step 4: Simplify right side
    48.11x = 1,516.68
  5. Step 5: Solve for x
    x = 1,516.68/48.11
  6. Step 6: Final answer
    x = 31.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.