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Finding the Fourth Proportional to 76.10, 105.03 and 43.36

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Solution

The fourth proportional to 76.10, 105.03 and 43.36 is: 59.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 105.03 = 43.36 : x
  2. Step 2: Convert to fraction form
    76.10/105.03 = 43.36/x
  3. Step 3: Cross multiply
    76.10x = 105.03 × 43.36
  4. Step 4: Simplify right side
    76.10x = 4,553.68
  5. Step 5: Solve for x
    x = 4,553.68/76.10
  6. Step 6: Final answer
    x = 59.84

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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.