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Finding the Fourth Proportional to 31.41, 43.36 and 23.24

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Solution

The fourth proportional to 31.41, 43.36 and 23.24 is: 32.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.41 : 43.36 = 23.24 : x
  2. Step 2: Convert to fraction form
    31.41/43.36 = 23.24/x
  3. Step 3: Cross multiply
    31.41x = 43.36 × 23.24
  4. Step 4: Simplify right side
    31.41x = 1,007.46
  5. Step 5: Solve for x
    x = 1,007.46/31.41
  6. Step 6: Final answer
    x = 32.08

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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.