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Finding the Fourth Proportional to 27.84, 38.28 and 23.52

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Solution

The fourth proportional to 27.84, 38.28 and 23.52 is: 32.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 38.28 = 23.52 : x
  2. Step 2: Convert to fraction form
    27.84/38.28 = 23.52/x
  3. Step 3: Cross multiply
    27.84x = 38.28 × 23.52
  4. Step 4: Simplify right side
    27.84x = 900.35
  5. Step 5: Solve for x
    x = 900.35/27.84
  6. Step 6: Final answer
    x = 32.34

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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.