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Finding the Fourth Proportional to 41.71, 57.56 and 30.65

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Solution

The fourth proportional to 41.71, 57.56 and 30.65 is: 42.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.71 : 57.56 = 30.65 : x
  2. Step 2: Convert to fraction form
    41.71/57.56 = 30.65/x
  3. Step 3: Cross multiply
    41.71x = 57.56 × 30.65
  4. Step 4: Simplify right side
    41.71x = 1,763.93
  5. Step 5: Solve for x
    x = 1,763.93/41.71
  6. Step 6: Final answer
    x = 42.30

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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.