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Finding the Fourth Proportional to 31.09, 46.58 and 21.43

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Solution

The fourth proportional to 31.09, 46.58 and 21.43 is: 32.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 46.58 = 21.43 : x
  2. Step 2: Convert to fraction form
    31.09/46.58 = 21.43/x
  3. Step 3: Cross multiply
    31.09x = 46.58 × 21.43
  4. Step 4: Simplify right side
    31.09x = 998.21
  5. Step 5: Solve for x
    x = 998.21/31.09
  6. Step 6: Final answer
    x = 32.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.