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Finding the Fourth Proportional to 41.94, 57.74 and 31.01

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Solution

The fourth proportional to 41.94, 57.74 and 31.01 is: 42.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.94 : 57.74 = 31.01 : x
  2. Step 2: Convert to fraction form
    41.94/57.74 = 31.01/x
  3. Step 3: Cross multiply
    41.94x = 57.74 × 31.01
  4. Step 4: Simplify right side
    41.94x = 1,790.52
  5. Step 5: Solve for x
    x = 1,790.52/41.94
  6. Step 6: Final answer
    x = 42.69

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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.