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Finding the Fourth Proportional to 48.11, 72.16 and 13.86

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Solution

The fourth proportional to 48.11, 72.16 and 13.86 is: 20.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.11 : 72.16 = 13.86 : x
  2. Step 2: Convert to fraction form
    48.11/72.16 = 13.86/x
  3. Step 3: Cross multiply
    48.11x = 72.16 × 13.86
  4. Step 4: Simplify right side
    48.11x = 1,000.14
  5. Step 5: Solve for x
    x = 1,000.14/48.11
  6. Step 6: Final answer
    x = 20.79

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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.