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Finding the Fourth Proportional to 31.71, 43.68 and 24.42

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Solution

The fourth proportional to 31.71, 43.68 and 24.42 is: 33.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 43.68 = 24.42 : x
  2. Step 2: Convert to fraction form
    31.71/43.68 = 24.42/x
  3. Step 3: Cross multiply
    31.71x = 43.68 × 24.42
  4. Step 4: Simplify right side
    31.71x = 1,066.67
  5. Step 5: Solve for x
    x = 1,066.67/31.71
  6. Step 6: Final answer
    x = 33.64

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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.