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Finding the Fourth Proportional to 31.52, 43.52 and 24.28

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Solution

The fourth proportional to 31.52, 43.52 and 24.28 is: 33.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.52 : 43.52 = 24.28 : x
  2. Step 2: Convert to fraction form
    31.52/43.52 = 24.28/x
  3. Step 3: Cross multiply
    31.52x = 43.52 × 24.28
  4. Step 4: Simplify right side
    31.52x = 1,056.44
  5. Step 5: Solve for x
    x = 1,056.44/31.52
  6. Step 6: Final answer
    x = 33.51

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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.