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Finding the Fourth Proportional to 31.46, 43.38 and 23.24

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Solution

The fourth proportional to 31.46, 43.38 and 23.24 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.46 : 43.38 = 23.24 : x
  2. Step 2: Convert to fraction form
    31.46/43.38 = 23.24/x
  3. Step 3: Cross multiply
    31.46x = 43.38 × 23.24
  4. Step 4: Simplify right side
    31.46x = 1,008.26
  5. Step 5: Solve for x
    x = 1,008.26/31.46
  6. Step 6: Final answer
    x = 32.05

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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.