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Finding the Fourth Proportional to 27, 37.26 and 20.07

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Solution

The fourth proportional to 27, 37.26 and 20.07 is: 27.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.26 = 20.07 : x
  2. Step 2: Convert to fraction form
    27/37.26 = 20.07/x
  3. Step 3: Cross multiply
    27x = 37.26 × 20.07
  4. Step 4: Simplify right side
    27x = 747.81
  5. Step 5: Solve for x
    x = 747.81/27
  6. Step 6: Final answer
    x = 27.70

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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.