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Finding the Fourth Proportional to 31.37, 43.02 and 29.62

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Solution

The fourth proportional to 31.37, 43.02 and 29.62 is: 40.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.37 : 43.02 = 29.62 : x
  2. Step 2: Convert to fraction form
    31.37/43.02 = 29.62/x
  3. Step 3: Cross multiply
    31.37x = 43.02 × 29.62
  4. Step 4: Simplify right side
    31.37x = 1,274.31
  5. Step 5: Solve for x
    x = 1,274.31/31.37
  6. Step 6: Final answer
    x = 40.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.