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Finding the Fourth Proportional to 41.14, 56.77 and 35.34

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Solution

The fourth proportional to 41.14, 56.77 and 35.34 is: 48.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.14 : 56.77 = 35.34 : x
  2. Step 2: Convert to fraction form
    41.14/56.77 = 35.34/x
  3. Step 3: Cross multiply
    41.14x = 56.77 × 35.34
  4. Step 4: Simplify right side
    41.14x = 2,005.95
  5. Step 5: Solve for x
    x = 2,005.95/41.14
  6. Step 6: Final answer
    x = 48.76

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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.