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Finding the Fourth Proportional to 27.12, 40.64 and 24.73

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Solution

The fourth proportional to 27.12, 40.64 and 24.73 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 40.64 = 24.73 : x
  2. Step 2: Convert to fraction form
    27.12/40.64 = 24.73/x
  3. Step 3: Cross multiply
    27.12x = 40.64 × 24.73
  4. Step 4: Simplify right side
    27.12x = 1,005.05
  5. Step 5: Solve for x
    x = 1,005.05/27.12
  6. Step 6: Final answer
    x = 37.05

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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.