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Finding the Fourth Proportional to 27.13, 37.47 and 23.05

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Solution

The fourth proportional to 27.13, 37.47 and 23.05 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.13 : 37.47 = 23.05 : x
  2. Step 2: Convert to fraction form
    27.13/37.47 = 23.05/x
  3. Step 3: Cross multiply
    27.13x = 37.47 × 23.05
  4. Step 4: Simplify right side
    27.13x = 863.68
  5. Step 5: Solve for x
    x = 863.68/27.13
  6. Step 6: Final answer
    x = 31.83

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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.