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Finding the Fourth Proportional to 41.89, 57.66 and 30.95

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Solution

The fourth proportional to 41.89, 57.66 and 30.95 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.89 : 57.66 = 30.95 : x
  2. Step 2: Convert to fraction form
    41.89/57.66 = 30.95/x
  3. Step 3: Cross multiply
    41.89x = 57.66 × 30.95
  4. Step 4: Simplify right side
    41.89x = 1,784.61
  5. Step 5: Solve for x
    x = 1,784.61/41.89
  6. Step 6: Final answer
    x = 42.60

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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.