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Finding the Fourth Proportional to 76.13, 105.06 and 41.63

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Solution

The fourth proportional to 76.13, 105.06 and 41.63 is: 57.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 105.06 = 41.63 : x
  2. Step 2: Convert to fraction form
    76.13/105.06 = 41.63/x
  3. Step 3: Cross multiply
    76.13x = 105.06 × 41.63
  4. Step 4: Simplify right side
    76.13x = 4,372.91
  5. Step 5: Solve for x
    x = 4,372.91/76.13
  6. Step 6: Final answer
    x = 57.44

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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.