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Finding the Fourth Proportional to 27.89, 38.32 and 24.00

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Solution

The fourth proportional to 27.89, 38.32 and 24.00 is: 32.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.89 : 38.32 = 24.00 : x
  2. Step 2: Convert to fraction form
    27.89/38.32 = 24.00/x
  3. Step 3: Cross multiply
    27.89x = 38.32 × 24.00
  4. Step 4: Simplify right side
    27.89x = 919.61
  5. Step 5: Solve for x
    x = 919.61/27.89
  6. Step 6: Final answer
    x = 32.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.