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Finding the Fourth Proportional to 41.76, 57.51 and 30.87

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Solution

The fourth proportional to 41.76, 57.51 and 30.87 is: 42.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 57.51 = 30.87 : x
  2. Step 2: Convert to fraction form
    41.76/57.51 = 30.87/x
  3. Step 3: Cross multiply
    41.76x = 57.51 × 30.87
  4. Step 4: Simplify right side
    41.76x = 1,775.33
  5. Step 5: Solve for x
    x = 1,775.33/41.76
  6. Step 6: Final answer
    x = 42.51

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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.