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Finding the Fourth Proportional to 27.64, 38.13 and 23.59

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Solution

The fourth proportional to 27.64, 38.13 and 23.59 is: 32.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.64 : 38.13 = 23.59 : x
  2. Step 2: Convert to fraction form
    27.64/38.13 = 23.59/x
  3. Step 3: Cross multiply
    27.64x = 38.13 × 23.59
  4. Step 4: Simplify right side
    27.64x = 899.49
  5. Step 5: Solve for x
    x = 899.49/27.64
  6. Step 6: Final answer
    x = 32.54

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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.