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Finding the Fourth Proportional to 36.94, 50.97 and 31.10

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Solution

The fourth proportional to 36.94, 50.97 and 31.10 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.94 : 50.97 = 31.10 : x
  2. Step 2: Convert to fraction form
    36.94/50.97 = 31.10/x
  3. Step 3: Cross multiply
    36.94x = 50.97 × 31.10
  4. Step 4: Simplify right side
    36.94x = 1,585.17
  5. Step 5: Solve for x
    x = 1,585.17/36.94
  6. Step 6: Final answer
    x = 42.91

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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.