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Finding the Fourth Proportional to 24.52, 33.84 and 23.28

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Solution

The fourth proportional to 24.52, 33.84 and 23.28 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.52 : 33.84 = 23.28 : x
  2. Step 2: Convert to fraction form
    24.52/33.84 = 23.28/x
  3. Step 3: Cross multiply
    24.52x = 33.84 × 23.28
  4. Step 4: Simplify right side
    24.52x = 787.80
  5. Step 5: Solve for x
    x = 787.80/24.52
  6. Step 6: Final answer
    x = 32.13

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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.