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Finding the Fourth Proportional to 31.05, 46.29 and 29.43

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Solution

The fourth proportional to 31.05, 46.29 and 29.43 is: 43.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.05 : 46.29 = 29.43 : x
  2. Step 2: Convert to fraction form
    31.05/46.29 = 29.43/x
  3. Step 3: Cross multiply
    31.05x = 46.29 × 29.43
  4. Step 4: Simplify right side
    31.05x = 1,362.31
  5. Step 5: Solve for x
    x = 1,362.31/31.05
  6. Step 6: Final answer
    x = 43.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.