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Finding the Fourth Proportional to 27.72, 41.66 and 13.48

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Solution

The fourth proportional to 27.72, 41.66 and 13.48 is: 20.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 41.66 = 13.48 : x
  2. Step 2: Convert to fraction form
    27.72/41.66 = 13.48/x
  3. Step 3: Cross multiply
    27.72x = 41.66 × 13.48
  4. Step 4: Simplify right side
    27.72x = 561.58
  5. Step 5: Solve for x
    x = 561.58/27.72
  6. Step 6: Final answer
    x = 20.26

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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.