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Finding the Fourth Proportional to 40.45, 60.39 and 31.44

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Solution

The fourth proportional to 40.45, 60.39 and 31.44 is: 46.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.45 : 60.39 = 31.44 : x
  2. Step 2: Convert to fraction form
    40.45/60.39 = 31.44/x
  3. Step 3: Cross multiply
    40.45x = 60.39 × 31.44
  4. Step 4: Simplify right side
    40.45x = 1,898.66
  5. Step 5: Solve for x
    x = 1,898.66/40.45
  6. Step 6: Final answer
    x = 46.94

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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.