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Finding the Fourth Proportional to 27.64, 38.07 and 24.71

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Solution

The fourth proportional to 27.64, 38.07 and 24.71 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.64 : 38.07 = 24.71 : x
  2. Step 2: Convert to fraction form
    27.64/38.07 = 24.71/x
  3. Step 3: Cross multiply
    27.64x = 38.07 × 24.71
  4. Step 4: Simplify right side
    27.64x = 940.71
  5. Step 5: Solve for x
    x = 940.71/27.64
  6. Step 6: Final answer
    x = 34.03

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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.